Skip to main content
SHOW DETAILS
up-solid down-solid
eye
Title
Date Published
Creator
Arxiv.org
Sep 13, 2013 Gilberto M. Kremer
texts

eye 60

favorite 0

comment 0

A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed. The transport coefficients of bulk and shear viscosities and thermal conductivity are determined from the Chapman-Enskog method. It is shown that the transport coefficients depend on the gravitational potential. Expressions for the transport coefficients in...
Source: http://arxiv.org/abs/1212.5573v4
Arxiv.org
Feb 27, 2013 Hitoshi Shiraishi; Toshio Hayami
texts

eye 61

favorite 0

comment 0

Let $\mathcal{B}$ be the class of functions $w(z)$ of the form $w(z)=\sum\limits_{k=1}^{\infty}b_k z^k$ which are analytic and satisfy the condition $|w(z)|
Source: http://arxiv.org/abs/1302.6916v1
Arxiv.org
Feb 7, 2013 Frank Ranostaj
texts

eye 585

favorite 0

comment 0

This thesis investigates acoustic properties of the vocal tract. Starting from a historical background (to name a few: Ibn Sina, Hooke, Kempelen, Abbe Mical, Kratzenstein, Wheatstone, Helmholtz, Riesz, Dudley, Dunn, Kelly, Lochbaum, Chiba, Kajiyama, Saito, Itakura, Burg, Gray...) finaly an improvement of the vocal tract tube model is investigated: The acoustics of vocal tract is numerical simulated in 3 dimensions with Finite Differenzes in Time Domain (FDTD) applied on an oral-cavity spatially...
Source: http://arxiv.org/abs/1302.1619v1
Arxiv.org
Jan 11, 2013 Hubert Karl; Sebstian Karl
texts

eye 89

favorite 0

comment 0

It is well known that a fixed point iteration for solving a linear equation system converges if and only if the spectral radius of the iteration matrix is less than one. A method is presented which guarantees the Fixed Point, even if this condition is not ("spectral radius
Source: http://arxiv.org/abs/1301.2481v1
Arxiv.org
Dec 18, 2012 Xiaolan Yu; Yinhuo Zhang
texts

eye 65

favorite 0

comment 0

Let $R$ be a Nichols algebra of Hecke type. In this paper, we show that if $R$ is Noetherian and of finite global dimension, then $R$ has a rigid dualizing complex. We then give a necessary and sufficient condition for $R$ to be a Calabi-Yau algebra.
Source: http://arxiv.org/abs/1212.4289v1
Arxiv.org
Dec 13, 2012 L. Borsten; M. J. Duff; S. Ferrara; A. Marrani
texts

eye 58

favorite 0

comment 0

Freudenthal duality (F-duality) was originally introduced as a non-polynomial anti-involution acting on the electromagnetic charges carried by extremal black hole solutions in the broad class of supergravity theories with U-duality groups of type E7. In this context F-duality is a symmetry of the Bekenstein-Hawking entropy. Here it is shown that, by adopting the doubled Lagrangian formalism, F-duality, defined on the doubled field strengths, is not only a symmetry of the black hole solutions,...
Source: http://arxiv.org/abs/1212.3254v1
Arxiv.org
Dec 6, 2012 Ivan Marin
texts

eye 63

favorite 0

comment 0

We refine the infinitesimal Hecke algebra associated to a 2-reflection group into a $\Z/2\Z$-graded Lie algebra, as a first step towards a global understanding of a natural $\mathbbm{N}$-graded object. We provide an interpretation of this Lie algebra in terms of the image of the braid group into the Hecke algebra, in connection with unitary structures. This connection is particularly strong when $W$ is a Coxeter group, and when in addition we can use generalizations of Drinfeld's rational even...
Source: http://arxiv.org/abs/1212.1279v1
Arxiv.org
Oct 11, 2012 Paulo Aguiar; Paulo Crawford
texts

eye 77

favorite 0

comment 0

In this work it is shown for some spatially homogeneous but anisotropic models how the inhomogeneities in the distribution of matter on the surface of the last scattering produce anisotropies in large angular scales (larger than $\vartheta \gtrsim 2^\circ$) which do not differ from the ones produced in Friedmann-Lema\^itre-Robertson-Walker (FLRW) geometries. That is, for these anisotropic models, the imprint left on the cosmic microwave background radiation (CMBR) by the primordial density...
Source: http://arxiv.org/abs/astro-ph/0110412v2
Arxiv.org
Oct 5, 2012 Reynier Peletier
texts

eye 92

favorite 0

comment 0

This is a summary of my lectures during the 2011 IAC Winter School in Puerto de la Cruz. I give an introduction to the field of stellar populations in galaxies, and highlight some new results. Since the title of the Winter School was {\it Secular Evolution of Galaxies} I mostly concentrate on nearby galaxies, which are best suited to study this theme. Of course, the understanding of stellar populations is intimately connected to understanding the formation and evolution of galaxies, one of the...
Source: http://arxiv.org/abs/1210.2127v1
Arxiv.org
Sep 28, 2012 Patrizia Berti; Irene Crimaldi; Luca Pratelli; Pietro Rigo
texts

eye 87

favorite 0

comment 0

Let (X_n) be a sequence of random variables (with values in a separable metric space) and (N_n) a sequence of random indices. Conditions for X_{N_n} to converge stably (in particular, in distribution) are provided. Some examples, where such conditions work but those already existing fail, are given as well. Key words and phrases: Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence
Source: http://arxiv.org/abs/1209.6473v1
Arxiv.org
Sep 27, 2012 Houssein El Turkey; Jonathan R. Kujawa
texts

eye 51

favorite 0

comment 0

We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for these algebras and a presentation using weight idempotents in the spirit of Lusztig's modified quantum groups.
Source: http://arxiv.org/abs/1209.6327v1
Arxiv.org
Sep 16, 2012 Andrew Adamatzky; Theresa Schubert
texts

eye 125

favorite 0

comment 0

The German motorway, or 'autobahn', is characterised by long traditions, meticulous state planning, historical misbalance between West and East Germany's transport networks, and highest increase in traffic in modern Europe, posing a need for expansion and/or restructuring. We attempt to evaluate the structure of autobahns using principles of intrinsic optimality of biological networks in experiments with slime mould of Physarum polycephalum. In laboratory experiments with living slime mould we...
Source: http://arxiv.org/abs/1209.3474v1
Let F be a rational quaternion algebra, and let k be an imaginary quadratic splitting field of F. If one extends F to a 2x2 matrix algebra over k, then every maximal order of F can be embedded into a maximal order of this extension. We show that all embedding maximal orders are isomorphic to each another, and that and how their isomorphism type (in relation to the 2x2 matrix algebra over the maximal order of k) depends only on the ramification behavior of F (theorem 6.2). This enables us to...
Source: http://arxiv.org/abs/1207.6460v1
Arxiv.org
Jul 25, 2012 Martin Chuaqui
texts

eye 147

favorite 0

comment 0

Let $f$ be a Schwarz-Christoffel mapping of the disk $\D$ onto a polygon. In this paper, we prove that in the formula $f"/f'=(B_1/B_2)/(1-zB_1/B_2)$ obtained recently in [3], the degrees $d_1, d_2$ of the finite Blaschke products $B_1, B_2$ are equal, respectively, to the number of convex vertices minus 1, and the number of concave vertices. A similar result is obtained for the corresponding representation formula for mappings onto the exterior of polygons.
Source: http://arxiv.org/abs/1207.6143v1
Arxiv.org
Jul 16, 2012 Rachel Ollivier; Peter Schneider
texts

eye 83

favorite 0

comment 0

Let F be a locally compact nonarchimedean field with residue characteristic p and G the group of F-rational points of a connected split reductive group over F. For k an arbitrary field, we study the homological properties of the Iwahori-Hecke k-algebra H' and of the pro-p Iwahori-Hecke k-algebra H of G. We prove that both of these algebras are Gorenstein rings with self-injective dimension bounded above by the rank of G. If G is semisimple, we also show that this upper bound is sharp, that both...
Source: http://arxiv.org/abs/1207.3769v1
Arxiv.org
Jul 3, 2012 L. G. C. Gentile; P. A. Grassi; A. Mezzalira
texts

eye 90

favorite 0

comment 0

We provide the metric, the gravitino fields and the gauge fields to all orders in the fermionic zero modes for D=5 and D=4, N=2 gauged supergravity solutions starting from non-extremal AdS--Schwarzschild black holes. We compute the Brown-York stress--energy tensor on the boundary of AdS_5 / AdS_4 spaces and we discuss some implications of the fermionic corrections to perfect fluid interpretation of the boundary theory. The complete non-linear solution, which we denote as fermionic wig, is...
Source: http://arxiv.org/abs/1207.0686v1
Arxiv.org
May 10, 2012 Morteza Rahmani; Mohammad H. Faroughi
texts

eye 60

favorite 0

comment 0

In this paper we introduce the concept of Bochner pg-frames for Banach spaces. We characterize the Bochner pg-frames and specify the optimal bounds of a Bochner pg- frames. Then we define a Bochner qg-Riesz basis and verify the relations between Bochner pg-frames and Bochner qg-Riesz bases. Finally, we discuss the perturbation of Bochner pg-frames.
Source: http://arxiv.org/abs/1205.2323v1
Arxiv.org
Apr 25, 2012 Dov Gabbay; Karl Schlechta
texts

eye 59

favorite 0

comment 0

We investigate several technical and conceptual questions. Our main subject is the investigation of independence as a ternary relation in the context of non-monotonic logic. In the context of probability, this investigation was started by W.Spohn et al., and then followed by J.Pearl. We look at products of function sets, and thus continue our own investigation of independence in non-monotonic logic. We show that a finite characterization of this relation in our context is impossible, and...
Source: http://arxiv.org/abs/1108.3033v6
Arxiv.org
Mar 29, 2012 F. W. Bessel; Charles F. F. Karney; Rodney E. Deakin
texts

eye 89

favorite 0

comment 0

The solution of the geodesic problem for an oblate ellipsoid is developed in terms of series. Tables are provided to simplify the computation. [This is a transcription of F. W. Bessel, Astronomische Nachrichten 4(86), 241-254 (1825). The text follows the original; however the mathematical notation has been updated to conform to current conventions. Several errors have been corrected and the tables have been recomputed.]
Source: http://arxiv.org/abs/0908.1823v3
Arxiv.org
Jan 11, 2012 Paweł Duch; Ryszard Paweł Kostecki
texts

eye 100

favorite 0

comment 0

Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No quantisation procedure is used. The emergent space-time is obtained by the Poincar\'{e}-Wick rotation and Fronsdal embedding of certain submanifold of the riemanian manifold of six-dimensional strictly positive matrices with the Bogolyubov-Kubo-Mori metric.
Source: http://arxiv.org/abs/1110.6566v3
International Music Score Library Project
2012 Seidler, Markus
texts

eye 1,276

favorite 0

comment 0

Topics: Suites, For piano, Scores featuring the piano, For 1 player
Source: http://imslp.org/wiki/Suite_zur_Aufwertung_des_Scheiterns,_Op.34_(Seidler,_Markus)
Arxiv.org
Dec 29, 2011 Jochen Schmid
texts

eye 87

favorite 0

comment 0

In this work we generalize some of the previously known adiabatic theorems to situations with non-unitary evolutions in Banach spaces. We prove adiabatic theorems with uniform gap condition (generalizing a theorem of Abou Salem), adiabatic theorems with non-uniform gap condition (generalizing a theorem of Kato) and qualitative as well as quantitative adiabatic theorems without gap condition (generalizing theorems of Avron and Elgart, and Teufel). Additionally, we give a generalized version of...
Source: http://arxiv.org/abs/1112.6338v1
Arxiv.org
Nov 22, 2011 Deepak Naidu; Sarah Witherspoon
texts

eye 179

favorite 0

comment 0

Quantum Drinfeld Hecke algebras are generalizations of Drinfeld Hecke algebras in which polynomial rings are replaced by quantum polynomial rings. We identify these algebras as deformations of skew group algebras, giving an explicit connection to Hochschild cohomology. We compute the relevant part of Hochschild cohomology for actions of many reflection groups and we exploit computations from our paper with Shroff for diagonal actions. By combining our work with recent results of Levandovskyy...
Source: http://arxiv.org/abs/1111.5243v1
Arxiv.org
Nov 18, 2011 O. Mendoza; E. C. Saenz; V. Santiago; M. J. Souto Salorio
texts

eye 61

favorite 0

comment 0

We show that the relative Auslander-Buchweitz context on a triangulated category $\T$ coincides with the notion of co-$t$-structure on certain triangulated subcategory of $\T$ (see Theorem \ref{M2}). In the Krull-Schmidt case, we stablish a bijective correspondence between co-$t$-structures and cosuspended, precovering subcategories (see Theorem \ref{correspond}). We also give a characterization of bounded co-$t$-structures in terms of relative homological algebra. The relationship between...
Source: http://arxiv.org/abs/1002.4604v3
Arxiv.org
Oct 10, 2011 Abid H. Mujtaba
texts

eye 126

favorite 0

comment 0

It is known that every compact simple Lie group admits a bi-invariant homogeneous Einstein metric. In this paper we use two ansatz to probe the existence of additional inequivalent Einstein metrics on the Lie group SU (n) for arbitrary n. We provide an explicit construction of (2k+1) inequivalent Einstein metrics on SU (2k) and 2k inequivalent Einstein metrics on SU (2k + 1).
Source: http://arxiv.org/abs/1110.1978v1
Arxiv.org
texts

eye 137

favorite 0

comment 0

Resultate der Charaktertheorie der symmetrischen Gruppe werden verwendet, um eine Verteilungsfunktion f\"ur das Geschlecht zuf\"allig gew\"ahlter Origamis zu erhalten. -- Results from the character theory of the symmetric group are used to obtain the distribution function of the genus of random origamis.)
Source: http://arxiv.org/abs/1108.3666v2
Arxiv.org
texts

eye 304

favorite 0

comment 0

This master thesis discusses the Reissner-Nordstr\"om metric and the dirac equation in curved spaces in the pseudo-complex General Relativity (pc-GR) and reviews the original ansatz of pc-GR. It is written in German.
Source: http://arxiv.org/abs/1106.2653v1
Arxiv.org
Jun 7, 2011 Thomas Schönenbach
texts

eye 141

favorite 0

comment 0

This is a master thesis concerning the search for a Kerr-type metric in the pseudocomplex General Relativity. Two different ways of deriving the standard Kerr-metric are presented and a solution for a Kerr-type metric in the pseudocomplex formalism is found.
Source: http://arxiv.org/abs/1106.1316v1
Arxiv.org
May 4, 2011 Marta Casanellas; Robin Hartshorne
texts

eye 71

favorite 0

comment 0

The existence of stable ACM vector bundles of high rank on algebraic varieties is a challenging problem. In this paper, we study stable Ulrich bundles (that is, stable ACM bundles whose corresponding module has the maximum number of generators) on nonsingular cubic surfaces $X \subset \mathbb{P}^3.$ We give necessary and sufficient conditions on the first Chern class $D$ for the existence of stable Ulrich bundles on $X$ of rank $r$ and $c_1=D$. When such bundles exist, we prove that that the...
Source: http://arxiv.org/abs/1102.0878v3
Arxiv.org
Mar 29, 2011 Craig Citro; Alexandru Ghitza
texts

eye 61

favorite 0

comment 0

We describe an algorithm for enumerating the set of level 1 systems of Hecke eigenvalues arising from modular forms (mod p).
Source: http://arxiv.org/abs/1102.3321v2
Arxiv.org
Dec 8, 2010 Toru Ohmoto
texts

eye 77

favorite 0

comment 0

This is a note on MacPherson's Chern class for algebraic stacks, based on a previous paper of the author [arXiv:math/0407348]. We also discuss other additive characteristic classes in the same manner.
Source: http://arxiv.org/abs/1004.0011v2
Arxiv.org
Dec 6, 2010 C. A. Serino; K. F. Tiampo; W. Klein
texts

eye 83

favorite 0

comment 0

We introduce a new model for an earthquake fault system that is composed of non-interacting simple lattice models with different levels of damage denoted by $q$. The undamaged lattice models ($q=0$) have Gutenberg-Richter scaling with a cumulative exponent $\beta=1/2$, whereas the damaged models do not have well defined scaling. However, if we consider the "fault system" consisting of all models, damaged and undamaged, we get excellent scaling with the exponent depending on the...
Source: http://arxiv.org/abs/1012.1260v1
Arxiv.org
Oct 11, 2010 Maximilian Hanusch
texts

eye 249

favorite 0

comment 0

This is my diploma thesis in german language. In the context of formal deformation theorie of assoziative observables in classical field theory I consider the symmetric algebra S(V) on an arbitrary-dimensional R- or C-vectorspace V as a prototype of comprehensive observables algebras in quantum field theory. In this framework I calculate the Hochschild cohomologies of S(V) with values in S(V)-S(V)-bimodules M. In the case that V is a locally convex vectorspace I compute the continuous...
Source: http://arxiv.org/abs/1009.4365v2
Arxiv.org
Oct 4, 2010 Thomas Scanlon
texts

eye 62

favorite 0

comment 0

Using the theory of o-minimality we show that the $p$-adic method of Skolem-Mahler-Lech-Chabauty may be adapted to prove instances of the dynamical Mordell-Lang conjecture for some real analytic dynamical systems. For example, we show that if $f_1,...,f_n$ is a finite sequence of real analytic functions $f_i:(-1,1) \to (-1,1)$ for which $f_i(0) = 0$ and $|f_i'(0)| \leq 1$ (possibly zero), $a = (a_1,...,a_n)$ is an $n$-tuple of real numbers close enough to the origin and $H(x_1,...,x_n)$ is a...
Source: http://arxiv.org/abs/1010.0482v1
Arxiv.org
Jul 2, 2010 Owen Pavel Fernández Piedra
texts

eye 170

favorite 0

comment 0

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first stage, we observe the damped oscillations characteristic of the quasinormal ringing stage, followed by long time tails. Using the sixth order WKB method and Prony fitting of time domain data we determine the quasinormal frequencies. There is a good correspondence...
Source: http://arxiv.org/abs/1006.3327v2
Arxiv.org
Jun 23, 2010 F. M. Paiva; A. F. F. Teixeira
texts

eye 142

favorite 0

comment 0

Geodesic of simultaneity is a spacelike geodesic in which every pair of neighbour events are simultaneous ($g_{0\mu}\dd x^\mu=0$). These geodesics are studied in the exterior region of \Sch's metric.
Source: http://arxiv.org/abs/1006.4654v1
Arxiv.org
Mar 16, 2010 J. Ponce de Leon
texts

eye 118

favorite 0

comment 0

In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in $D$-dimensions. By means of dimensional reduction we obtain a family of asymptotically flat Schwarzschild-like metrics for which all the components of the Ricci tensor, except for $R_{11}$, are zero. Although the reduced spacetime is not empty, it is similar to vacuum in the sense that the effective matter satisfies an equation of...
Source: http://arxiv.org/abs/1003.3151v1
Arxiv.org
Feb 10, 2010 Kazuki Sasaki; Naoya Suzuki; Hiroki Saito
texts

eye 103

favorite 0

comment 0

Vortex shedding from an obstacle potential moving in a Bose-Einstein condensate is investigated. Long-lived alternately aligned vortex pairs are found to form in the wake, as for the von K\'arm\'an vortex street in classical viscous fluids. Various patterns of vortex shedding are systematically studied and the drag force on the obstacle is calculated. It is shown that the phenomenon can be observed in a trapped system.
Source: http://arxiv.org/abs/1002.2058v1
Arxiv.org
Feb 7, 2010 Denise Nakiboglu
texts

eye 92

favorite 0

comment 0

Looking at the cartesian product of a topological space with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that maps (x,y) to (y,x). The so-called halfsquaring construction, now also called "symmetric squaring construction", in Cech homology with Z/2-coefficients was introduced in [arXiv:0709.1774] as a map from the k-th Cech homology group of a space X to the 2k-th Cech homology group of X \times X divided by the above...
Source: http://arxiv.org/abs/1002.1449v1
Arxiv.org
texts

eye 87

favorite 0

comment 0

Both the distribution of hydrogen and the rotation curve of the Milky Way indicate the existence of a ring of Cold Dark Matter in the galactic plane with a radius of 14 kiloparsecs around the galactic centre. Using a semianalytical model, the formation of such a structure by the accretion of dwarf galaxies is simulated. The formation of the ring can be explained by the infall of a single dwarf galaxy, as well as by the infall of several dwarf galaxies under the condition that the eccentricity...
Source: http://arxiv.org/abs/0810.5300v3
International Music Score Library Project
2010 Hoffmann, Norbert Rudolf
texts

eye 829

favorite 1

comment 0

Topics: Secular cantatas, Cantatas, For narrator, clarinet, pan flute, percussion, violin, double bass,...
Source: http://imslp.org/wiki/Seefelder_Geschichten_am_Klangbaum_(Hoffmann,_Norbert_Rudolf)
International Music Score Library Project
2010 Hirsch, Cornelius
texts

eye 709

favorite 0

comment 0

Topics: Pieces, For narrator, unspecified instruments, Scores featuring the voice, Scores featuring a...
Source: http://imslp.org/wiki/Lieber_in_der_alten_Tiefe_liegen_(Hirsch,_Cornelius)
International Music Score Library Project
2010 Stark, Christian
texts

eye 746

favorite 0

comment 0

Topics: Pieces, For saxophone, percussion, Scores featuring the saxophone, Scores featuring percussion...
Source: http://imslp.org/wiki/Der_Aufschwung_ist_da._(Stark,_Christian)
Arxiv.org
Dec 7, 2009 F. M. Paiva; A. F. F. Teixeira
texts

eye 118

favorite 0

comment 0

Motion of bodies and light rays are studied in the gravitational field of Schwarzschild. Several Doppler effects are described. ----- Movado de korpoj kaj lumo estas studitaj en gravita kampo de Schwarzschild. Pluraj Doppleraj efikoj estas priskribitaj.
Source: http://arxiv.org/abs/0912.1229v1
Arxiv.org
texts

eye 74

favorite 0

comment 0

The Exodus was causally connected to the eruption of Thera. The time of this geological event is determined by C14 dating as 1627-1600 BC. The chaos that followed this catastrophe led to upheavals which distorted the chronologies. Taking periods of foreign domination into account leads to an agreement between the chronologies of Egypt and Israel. ----- Der Exodus wurde durch den Ausbruch von Thera ermoeglicht, welcher als geologisches Ereignis durch C14 Datierungen auf die Zeit 1627-1600 BC...
Source: http://arxiv.org/abs/0909.1473v1
Arxiv.org
Aug 17, 2009 Gérard H. E. Duchamp; Christophe Tollu
texts

eye 63

favorite 0

comment 0

We describe the problem of Sweedler's duals for bialgebras as essentially characterizing the domain of the transpose of the multiplication. This domain is the set of what could be called ``representative linear forms'' which are the elements of the algebraic dual which are also representative on the multiplicative semigroup of the algebra. When the algebra is free, this notion is indeed equivalent to that of rational functions of automata theory. For the sake of applications, the range of...
Source: http://arxiv.org/abs/0712.0125v3
Arxiv.org
Apr 17, 2009 Victor Tourtchine
texts

eye 82

favorite 0

comment 0

We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra.
Source: http://arxiv.org/abs/math/0504017v3
Arxiv.org
Apr 11, 2009 Xuhua He
texts

eye 52

favorite 0

comment 0

Let $(W, I)$ be a finite Coxeter group. In the case where $W$ is a Weyl group, Berenstein and Kazhdan in \cite{BK} constructed a monoid structure on the set of all subsets of $I$ using unipotent $\chi$-linear bicrystals. In this paper, we will generalize this result to all types of finite Coxeter groups (including non-crystallographic types). Our approach is more elementary, based on some combinatorics of Coxeter groups. Moreover, we will calculate this monoid structure explicitly for each type.
Source: http://arxiv.org/abs/0904.1786v1
Arxiv.org
texts

eye 88

favorite 0

comment 0

In the first part of our generalized ergodic theory we introduced Cantor-systems, when we managed to prove the generalized ergodic theorem 3.3. The first component of a Cantor-system is a group of the flow and its second component is a set of sets covering the phase-space. Now we continue and we first come across the resistence of the term of metric sensitivity against further generalization. Finding a way of generalization of sensitivity, we understand, that generalized chaos can come out of...
Source: http://arxiv.org/abs/0904.1211v1
Arxiv.org
Apr 7, 2009 Andreas Johann Raab
texts

eye 134

favorite 0

comment 0

If and only if each point of a set of the phase-space is in the topological hull of a trajectory running through any other point of this set, we call this set a quasiergodic set. But which are these so defined quasiergodic sets in the case of a given continuous dynamical system, which has piecewise differentiable trajectories in a finit-dimensional real phase-space, which is compact? Let its trajectories define a field of normed tangents, which is continuous in almost each point of the...
Source: http://arxiv.org/abs/0810.5099v8
Arxiv.org
texts

eye 174

favorite 0

comment 0

Our conception of a generalized ergodic theory shall exceed the generality of general topology: In this first part of the generalized ergodic theory we investigate the logical constitution of the conception of attractors. We prepare a general theory of sensitivity of flows, which we intend to present in the second part of the generalized ergodic theory. As a result of this first part take the theorem 3.3 and the theorem 3.8: We show a very general ergodic theorem, however it concerns insensitve...
Source: http://arxiv.org/abs/0902.2818v4
Arxiv.org
Mar 5, 2009 Ding Wang; R. B. Zhang; Xiao Zhang
texts

eye 61

favorite 0

comment 0

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The metrics and curvatures of the quantum Schwarzschild spacetime and the quantum Schwarzschild-de Sitter spacetime are computed. It is shown that up to the second order in the deformation parameter, the quantum spacetimes are solutions of a noncommutative Einstein...
Source: http://arxiv.org/abs/0809.0614v2
Arxiv.org
Feb 17, 2009 Ruediger Lunde; Claus-Peter Wirth
texts

eye 135

favorite 0

comment 0

Maintaining the main aspects of the algebraic specification language ASF as presented in [Bergstra&al.89] we have extend ASF with the following concepts: While once exported names in ASF must stay visible up to the top the module hierarchy, ASF+ permits a more sophisticated hiding of signature names. The erroneous merging of distinct structures that occurs when importing different actualizations of the same parameterized module in ASF is avoided in ASF+ by a more adequate form of parameter...
Source: http://arxiv.org/abs/0902.2995v1
Arxiv.org
texts

eye 89

favorite 0

comment 0

The ground state energy of the Mueller functional of large (neutral) atoms of atomic number Z agrees with the quantum mechanical ground state energy up to order o(Z to the 5/3). ----- Die Grundzustandsenergie des Muellerfunktionals von grossen (neutralen) Atomen der Ordnungszahl Z stimmt mit der quantenmechanischen Grundzustandsenergie bis zur Ordnung o(Z hoch 5/3) ueberein.
Source: http://arxiv.org/abs/0811.2453v2
Arxiv.org
Jan 16, 2009 Alexander Schmidt
texts

eye 54

favorite 0

comment 0

Let k be a global field, p an odd prime number different from char(k) and S, T disjoint, finite sets of primes of k. Let G_S^T(k)(p)=Gal(k_S^T(p)|k) be the Galois group of the maximal p-extension of k which is unramified outside S and completely split at T. We prove the existence of a finite set of primes S_0, which can be chosen disjoint from any given set M of Dirichlet density zero, such that the cohomology of G_{S\cup S_0}^T(k)(p) coincides with the etale cohomology of the associated marked...
Source: http://arxiv.org/abs/0806.0772v3
Arxiv.org
Jan 15, 2009 Alexander Zuevsky
texts

eye 67

favorite 0

comment 0

Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(\widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.
Source: http://arxiv.org/abs/0901.2335v1
Arxiv.org
texts

eye 105

favorite 0

comment 0

F\"ur die freien orthogonalen Quantengruppen $A_o(n)$ wird ein vollst\"a ndiges Reduktionssystem angegeben und verifiziert. F\"ur den Fall $n = 2$ wird ein endlicher Automat angegeben, der s\"amtliche der Basiselemente findet. Weiterhin wird eine Basis f\"ur die f\"ur die Kerne einer freien Aufl\"osung von $A_o(n)$ als Bimodul bewiesen. Abschlie{\ss}end wird mit der nun verifizierten Aufl\"osung die Homologie von $A_o(n)$ explizit berechnet.
Source: http://arxiv.org/abs/0901.1391v1
International Music Score Library Project
2009 Denninger, Patrick
texts

eye 596

favorite 0

comment 0

Source: http://imslp.org/wiki/Orgelvorspiel_zum_Kanon_'Ich_will_den_Herrn_loben'_(Denninger,_Patrick)
International Music Score Library Project
2009 Beischer-Matyó, Tamás
texts

eye 705

favorite 0

comment 0

Topics: Pieces, For violin, 3 violas, 3 cellos, Scores featuring the violin, Scores featuring the viola,...
Source: http://imslp.org/wiki/Tor_zur_Ewigkeit_–_Zweites_Buch:_Lichtgesang_(Beischer-Matyó,_Tamás)
International Music Score Library Project
texts

eye 1,077

favorite 0

comment 0

Topics: Lieder, Songs, For voice, piano, For voices with keyboard, Scores featuring the voice, Scores...
Source: http://imslp.org/wiki/4_Lieder_nach_Texten_von_Hugo_von_Hofmannsthal,_Op.27_(Fries,_Albin)
Arxiv.org
Nov 1, 2008 Alessandro Ardizzoni; Gabriella Böhm; Claudia Menini
texts

eye 82

favorite 0

comment 0

Comodule algebras of a Hopf algebroid H with a bijective antipode, i.e. algebra extensions B\subseteq A by H, are studied. Assuming that a lifted canonical map is a split epimorphism of modules of the non-commutative base algebra of H, relative injectivity of the H-comodule algebra A is related to the Galois property of the extension B\subseteq A and also to the equivalence of the category of relative Hopf modules to the category of B-modules. This extends a classical theorem by H.-J. Schneider...
Source: http://arxiv.org/abs/math/0612633v2
Arxiv.org
Aug 28, 2008 Burchard Kaup; Hans-Jörg Reiffen
texts

eye 126

favorite 0

comment 0

The leaves in singular holomorphic foliation theory are examples of quasi-analytic layers. In the first part of our publication we are concerned with a theory of these subjects. A quasi-analytic decomposition of a complex manifold is a decomposition into pairwise disjoint connected quasi-analytic layers. These are holomorphic foliations in the sense of P. Stefan and K. Spallek. A very different but more usual conception of holomorphic foliations is develloped by P. Baum and R. Bott. It is based...
Source: http://arxiv.org/abs/0808.3893v1
Arxiv.org
Jul 5, 2008 James Alsup; George Siopsis
texts

eye 83

favorite 0

comment 0

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory fluid obeying Bjorken hydrodynamics in the limit of large longitudinal proper time. The metric we obtain reproduces to leading order the metric recently found as a direct solution of the Einstein equations in five dimensions. Our results are also in agreement...
Source: http://arxiv.org/abs/0712.2164v2
Arxiv.org
Jun 25, 2008 Wolfgang Soergel
texts

eye 63

favorite 0

comment 0

This is an attempt to model ambient space as a three-dimensional real affine space with a distinguished group of automorphisms containing the translations and acting freely and transitively on pairs consisting of a half-plane together with a half-line on its boundary. From there the existence of an invariant scalar product is deduced, which then also implies Pythagoras theorem in a quite precise form. This is in contrast to the usual procedure to model ambient space by asking for a...
Source: http://arxiv.org/abs/0806.4052v1
Arxiv.org
Jun 5, 2008 Emil Weyr
texts

eye 137

favorite 0

comment 0

Lecture given before the Royal Academy Vienna that summarizes the state of knowledge about the mathematics of the ancient Egyptians, up to 1884. Contains all relevant references to classical Greek texts, and the 'latest' archeology results. Later published as booklet. A list with completed bibliographic references is appended. ----- Vortrag vor der k.u.k. Akademie der Wissenschaften in Wien, 1884, ueber den damaligen Wissensstand zur Mathematik der Aegypter, mit Referenzen zu den klassischen...
Source: http://arxiv.org/abs/0806.1000v1
Arxiv.org
May 7, 2008 Bernd Jantzen
texts

eye 158

favorite 0

comment 0

Experiments at the future colliders LHC and ILC will, for the first time, explore electroweak reactions at energies in the TeV region, i.e. far beyond the masses of the W and Z bosons. In exclusive processes without the emission of massive gauge bosons double-logarithmic contributions, so-called Sudakov logarithms, will then become relevant. Precise theoretical predictions require the knowledge of the complete logarithmic two-loop corrections in the high energy limit, thus exceeding the...
Source: http://arxiv.org/abs/hep-ph/0612197v2
Arxiv.org
Apr 28, 2008 Frédéric Butin
texts

eye 84

favorite 1

comment 0

Given a mechanical system $(M, \mathcal{F}(M))$, where $M$ is a Poisson manifold and $\mathcal{F}(M)$ the algebra of regular functions on $M$, it is important to be able to quantize it, in order to obtain more precise results than through classical mechanics. An available method is the deformation quantization, which consists in constructing a star-product on the algebra of formal power series $\mathcal{F}(M)[[\hbar]]$. A first step toward study of star-products is the calculation of Hochschild...
Source: http://arxiv.org/abs/0803.3347v2
Arxiv.org
Mar 31, 2008 M. Merkl; F. E. Zimmer; G. Juzeliunas; P. Öhberg
texts

eye 60

favorite 0

comment 0

Ultra-cold atoms which are subject to ultra-relativistic dynamics are investigated. By using optically induced gauge potentials we show that the dynamics of the atoms is governed by a Dirac type equation. To illustrate this we study the trembling motion of the centre of mass for an effective two level system, historically called Zitterbewegung. Its origin is described in detail, where in particular the role of the finite width of the atomic wave packets is seen to induce a damping of both the...
Source: http://arxiv.org/abs/0803.4189v2
Arxiv.org
Mar 15, 2008 Martin Kober
texts

eye 156

favorite 0

comment 0

Gravity with incorporation of additional dimensions and noncommutative geometry.
Source: http://arxiv.org/abs/0803.2308v1
International Music Score Library Project
2008 Wilm, Nicolai von
texts

eye 831

favorite 0

comment 0

Topics: Pieces, For horn, piano, Scores featuring the horn, Scores featuring the piano, For 2 players
Source: http://imslp.org/wiki/2_Vortragsstücke,_Op.79_(Wilm,_Nicolai_von)
International Music Score Library Project
2008 Stark, Christian
texts

eye 753

favorite 0

comment 0

Topics: Secular choruses, Choruses, For childrens chorus, male chorus, trumpet, keyboard, Scores featuring...
Source: http://imslp.org/wiki/Nur_bewegen_lassen_(eller)_(Stark,_Christian)
International Music Score Library Project
2008 Hoffmann, Norbert Rudolf
texts

eye 784

favorite 0

comment 0

Topics: Pieces, For horn, 2 trumpets, trombone, tuba, Scores featuring the horn, Scores featuring the...
Source: http://imslp.org/wiki/3_Stücke_für_Blechbläserquintett_(Hoffmann,_Norbert_Rudolf)
Arxiv.org
Dec 13, 2007 A. Radosz; A. T. Augousti; K. Ostasiewicz
texts

eye 94

favorite 0

comment 0

The Doppler shift considered in general relativity involves mixed contributions of distinct, gravitational and kinematical origins and for most metrics or trajectories it takes a complex form. The expression for the Doppler shift may simplify due to particular symmetries. In Schwarzschild spacetime it factorizes in the case of radial fall for an observer and radial null geodesic. The resulting expression is composed of factors that can be identified with contributions arising from classical,...
Source: http://arxiv.org/abs/0712.2154v1
Arxiv.org
Dec 3, 2007 Ansgar Schneider
texts

eye 175

favorite 0

comment 0

We show that the $C^*$-algebraic approach to T-duality of Mathai and Rosenberg is equivalent to the topological approach of Bunke and Schick.
Source: http://arxiv.org/abs/0712.0260v1
Arxiv.org
Nov 29, 2007 Martin Kohls
texts

eye 399

favorite 0

comment 0

Let K be an algebraically closed field. For a graded K-Algebra R, we write cmdef R:=dim R -depth R. We show that for each reductive group G (over K) which is not linearly reductive, there exists a faithful G-module V such that cmdef K[\sum_i=1^k V]^G >= k-2 for all k. We will give such a V explicitly.
Source: http://arxiv.org/abs/0711.4730v1
Arxiv.org
Nov 17, 2007 Martin Kohls
texts

eye 92

favorite 0

comment 0

We give examples of Non-Cohen-Macaulay invariant rings.
Source: http://arxiv.org/abs/0711.2738v1
Arxiv.org
texts

eye 313

favorite 0

comment 0

For G=SL_n or GL_n we construct representations V such that the invariant ring K[V]^G is not Cohen-Macaulay.
Source: http://arxiv.org/abs/0711.2737v1
Arxiv.org
Nov 7, 2007 J. Ponce de Leon
texts

eye 60

favorite 0

comment 0

A striking characteristic of non-Schwarzschild vacuum exteriors is that they contain not only the total gravitational mass of the source, but also an {\it arbitrary} constant. In this work, we show that the constants appearing in the "temporal Schwarzschild", "spatial Schwarzschild" and "Reissner-Nordstr{\"o}m-like" exteriors are not arbitrary but are completely determined by star's parameters, like the equation of state and the gravitational potential....
Source: http://arxiv.org/abs/0711.0998v1
Arxiv.org
Oct 22, 2007 J. P. Krisch; E. N. Glass
texts

eye 77

favorite 0

comment 0

We discuss Israel layers collapsing inward from rest at infinity along Schwarzschild-Lemaitre geodesics. The dynamics of the collapsing layer and its equation of state are developed. There is a general equation of state which is approximately polytropic in the limit of very low pressure. The equation of state establishes a new limit on the stress-density ratio.
Source: http://arxiv.org/abs/0710.4058v1
Arxiv.org
texts

eye 87

favorite 0

comment 0

Schwarzschild's solution of Einstein's field equations in vacuum can be written in many different forms. Unfortunately Schwarzschild's own original form is less nice looking and simple than that latter derived by Droste and Hilbert. We prove here that we can have both: a nice looking simple form and the meaning that Schwarzschild wanted to give to his solution, i.e., that of describing the gravitational field of a massive point particle.
Source: http://arxiv.org/abs/0709.2257v2
Arxiv.org
Jun 27, 2007 Wolfgang Steimle
texts

eye 92

favorite 0

comment 0

This work treats on the question whether a given map f: M -> B of smooth closed manifolds is homotopic to a smooth fiber bundle. We define a first obstruction in H^1(B;Wh(\pi_1(E))) and, provided that this obstruction vanishes and one additional condition is verified, a second obstruction in Wh(\pi_1(E)) >. Both elements vanish if the answer to the above question is positive. In the case where B is the 1-sphere and the dimension of M exceeds five, we show that the converse is also true,...
Source: http://arxiv.org/abs/0706.3973v1
Arxiv.org
texts

eye 390

favorite 0

comment 0

We present a nonrelativistic theory for the quantum mechanical description of longitudinal atomic beam spin echo experiments, where a beam of neutral atoms is subjected to static electric and magnetic fields. The atomic wave function is the solution of a matrix-valued Schroedinger equation and can be written as superposition of local (atomic) eigenstates of the potential matrix. The position- and time-dependent amplitude function of each eigenstate represents an atomic wave packet and can be...
Source: http://arxiv.org/abs/0705.2508v2
Arxiv.org
Apr 20, 2007 Ralf Stephan
texts

eye 117

favorite 0

comment 0

Diese kurze Einfuehrung in Theorie und Berechnung linearer Rekurrenzen versucht, eine Luecke in der Literatur zu fuellen. Zu diesem Zweck sind viele ausfuehrliche Beispiele angegeben. This short introduction to theory and usage of linear recurrences tries to fill a gap in the literature by giving many extensive examples.
Source: http://arxiv.org/abs/0704.2481v2
Arxiv.org
Apr 5, 2007 D. Wilczak; P. Zgliczyński
texts

eye 64

favorite 0

comment 0

We present a Lohner type algorithm for the computation of rigorous bounds for solutions of ordinary differential equations and its derivatives with respect to initial conditions up to arbitrary order. As an application we prove the existence of multiple invariant tori around some elliptic periodic orbits for the pendulum equation with periodic forcing and for Michelson system.
Source: http://arxiv.org/abs/0704.0720v1
Arxiv.org
Feb 16, 2007 Peter Collas; David Klein
texts

eye 98

favorite 0

comment 0

We use Fermi coordinates to calculate the canonical partition function for an ideal gas in a circular geodesic orbit in Schwarzschild spacetime. To test the validity of the results we prove theorems for limiting cases. We recover the Newtonian gas law subject only to tidal forces in the Newtonian limit. Additionally we recover the special relativistic gas law as the radius of the orbit increases to infinity. We also discuss how the method can be extended to the non ideal gas case.
Source: http://arxiv.org/abs/gr-qc/0603086v3
Arxiv.org
Jan 11, 2007 Urs Hackstein
texts

eye 145

favorite 0

comment 0

We define functorial isomorphisms of parallel transport along etale paths for a class of G-principal bundles on a p-adic curve where G is a connected reductive algebraic group of finite presentation. This class consists of all principal bundles with potentially strongly semistable reduction of degree zero. In particular, this construction gives us a continous functor from the etale fundamental grupoid of the given curve to the category of topological spaces with a simply transitive continous...
Source: http://arxiv.org/abs/math/0701315v1
International Music Score Library Project
2007 Stark, Christian
texts

eye 742

favorite 1

comment 0

Topics: Pieces, For 2 cellos, Scores featuring the cello, For 2 players
Source: http://imslp.org/wiki/Gefärbte_Blöcke_2_-_Augen_und_Eier_(Stark,_Christian)
Arxiv.org
Nov 28, 2006 D. Stauffer; C. Schulze; S. Wichmann
texts

eye 91

favorite 0

comment 0

Recent computer simulations of the competition between thousands of languages are reviewed, and some new results on language families and language similarities are presented.
Source: http://arxiv.org/abs/physics/0611037v2
Arxiv.org
Oct 26, 2006 Hiroyuki Abe; Yutaka Sakamura
texts

eye 71

favorite 0

comment 0

We reinterpret the Scherk-Schwarz (SS) boundary condition for SU(2)_R in a compactified five-dimensional (5D) Poincare supergravity in terms of the twisted SU(2)_U gauge fixing in 5D conformal supergravity. In such translation, only the compensator hypermultiplet is relevant to the SS twist, and various properties of the SS mechanism can be easily understood. Especially we show the equivalence between the SS twist and boundary constant superpotentials at the full supergravity level.
Source: http://arxiv.org/abs/hep-th/0610279v1
Arxiv.org
Sep 19, 2006 Anne V. Shepler; Sarah Witherspoon
texts

eye 72

favorite 0

comment 0

We develop and collect techniques for determining Hochschild cohomology of skew group algebras S(V)#G and apply our results to graded Hecke algebras. We discuss the explicit computation of certain types of invariants under centralizer subgroups, focusing on the infinite family of complex reflection groups G(r,p,n) to illustrate our ideas. Resulting formulas for Hochschild two-cocycles give information about deformations of S(V)#G and, in particular, about graded Hecke algebras. We expand the...
Source: http://arxiv.org/abs/math/0603231v2
Arxiv.org
May 23, 2006 Alexandru Ghitza
texts

eye 64

favorite 0

comment 0

We show that the systems of Hecke eigenvalues occurring in the spaces of Siegel modular forms (mod p) of fixed dimension g, fixed level N, and varying weight, are the same as the systems occurring in the spaces of Siegel cusp forms with the same parameters and varying weight. In particular, in the case g=1, this says that the Hecke eigensystems (mod p) coming from classical modular forms are the same as those coming from cusp forms. The proof uses restriction to the superspecial locus. We also...
Source: http://arxiv.org/abs/math/0511728v2
Arxiv.org
May 3, 2006 Steffen Krusch; Paul Sutcliffe
texts

eye 72

favorite 0

comment 0

We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if the coupling constant is very close to the critical value separating Type I from Type II superconductors. However, there are significant qualitative differences even for modest deviations from the critically coupled regime. Radiation effects...
Source: http://arxiv.org/abs/cond-mat/0511053v2
Arxiv.org
Mar 13, 2006 E. Krätzel; W. G. Nowak
texts

eye 95

favorite 0

comment 0

An effective estimate for the lattice point discrepancy of ellipsoids of rotation. This paper provides an explicit bound, with numerical constants, for the lattice point discrepancy (= number of integer points minus volume) of an ellipsoid Q < x, where Q is a positive definite ternary quadratic form, diagonalized and invariant with respect to rotations around one coordinate axis. In the result the exponent of x in the leading term is equal to 11/16.
Source: http://arxiv.org/abs/math/0603292v1
International Music Score Library Project
2006 St. George Tucker, Tui
texts

eye 751

favorite 0

comment 0

Topics: Variations, For organ, Scores featuring the organ, For 1 player
Source: http://imslp.org/wiki/8_Variations_on_'O_Haupt_voll_Blut_und_Wunden'_(St._George_Tucker,_Tui)
Arxiv.org
Sep 12, 2005 Eugenii Shustin; Zur Izhakian
texts

eye 55

favorite 0

comment 0

We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and addition.
Source: http://arxiv.org/abs/math/0508413v2
Arxiv.org
Sep 8, 2005 Pavel Etingof; Wee Liang Gan; Victor Ginzburg
texts

eye 68

favorite 0

comment 0

We study a generalization of graded Hecke algebras introduced by Drinfeld in 1986, in which the role of a finite group G is played by a reductive algebraic group. This includes continuous generalizations of symplectic reflection algebras and of rational Cherednik algebras. We prove direct and converse PBW theorems, and also study versions of our algebras in which the group G is replaced with its Lie algebra. We also begin to develop the representation theory of continuous Hecke algebras, which...
Source: http://arxiv.org/abs/math/0501192v3
Arxiv.org
Jun 25, 2005 H. -J. Schmidt
texts

eye 139

favorite 0

comment 0

We comment on the paper [1] by Albert Einstein from 1918 to Willem De Sitter's solution [2] of the Einstein field equation from today's point of view. To this end, we start by describing the geometry of the De Sitter space-time and present its importance for the inflationary cosmological model.
Source: http://arxiv.org/abs/gr-qc/0506121v1
Arxiv.org
Jun 7, 2005 A. Alekseev; E. Meinrenken
texts

eye 56

favorite 0

comment 0

Let U(n) be the unitary group, and $u(n)^*$ the dual of its Lie algebra, equipped with the Kirillov Poisson structure. In their 1983 paper, Guillemin-Sternberg introduced a densely defined Hamiltonian action of a torus of dimension $(n-1)n/2$ on $u(n)^*$, with moment map given by the Gelfand-Zeitlin coordinates. A few years later, Flaschka-Ratiu described a similar, `multiplicative' Gelfand-Zeitlin system for the Poisson Lie group $U(n)^*$. By the Ginzburg-Weinstein theorem, $U(n)^*$ is...
Source: http://arxiv.org/abs/math/0506112v1
Arxiv.org
Jun 1, 2005 Denis Auroux; Simon K Donaldson; Ludmil Katzarkov
texts

eye 56

favorite 0

comment 0

We consider structures analogous to symplectic Lefschetz pencils in the context of a closed 4-manifold equipped with a `near-symplectic' structure (ie, a closed 2-form which is symplectic outside a union of circles where it vanishes transversely). Our main result asserts that, up to blowups, every near-symplectic 4-manifold (X,omega) can be decomposed into (a) two symplectic Lefschetz fibrations over discs, and (b) a fibre bundle over S^1 which relates the boundaries of the Lefschetz fibrations...
Source: http://arxiv.org/abs/math/0410332v2
Arxiv.org
Feb 25, 2005 Jean-Louis Colliot-Th'el`ene
texts

eye 46

favorite 0

comment 0

Given a smooth, projective irreducible variety over the reals, various algebraic formulas have been given for the number of real connected components of the set of real points. In this note I compare a formula of E. Becker and D. Gondard (1995) with a formula I gave in 1978. I show how one may deduce one from the other by using a purity theorem of M. Rost (1990). ----- E. Becker und D. Gondard haben eine algebraische Formel fuer die Anzahl von Zusammenhangskomponenten des Raumes der reellen...
Source: http://arxiv.org/abs/math/0502538v1