3期

最新文章

• The Leray spectral sequence is motivic AI翻译
  作者：Arapura, D
  作者单位：Purdue University System; Purdue University
• The Plancherel decomposition for a reductive symmetric space - I. Spherical functions AI翻译
  作者：van den Ban, EP; Schlichtkrull, H
  作者单位：Utrecht University; University of Copenhagen; Aarhus University
  摘要：We prove the Plancherel formula for spherical Schwartz functions on a reductive symmetric space. Our starting point is an inversion formula for spherical smooth compactly supported functions. The latter formula was earlier obtained from the most continuous part of the Plancherel formula by means of a residue calculus. In the course of the present paper we also obtain new proofs of the uniform tempered estimates for normalized Eisenstein integrals and of the Maass-Selberg relations satisfied by...
• Finite groups and hyperbolic manifolds AI翻译
  作者：Belolipetsky, M; Lubotzky, A
  作者单位：Hebrew University of Jerusalem; Russian Academy of Sciences
  摘要：The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show that for every n >= 2, every finite group is realized as the full isometry group of some compact hyperbolic n-manifold. The cases n=2 and n=3 have been proven by Greenberg (1974) and Kojima (1988), respectively. Our proof is non constructive: it uses counting results from subgroup growth theory to show that such manifolds exist.
• Simply connected symplectic 4-manifolds with b2+=1 and c12=2 AI翻译
  作者：Park, J
  作者单位：Seoul National University (SNU)
  摘要：In this article we construct a new simply connected symplectic 4-manifold with b(2)(+) = 1 and c(1)(2) = 2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface CP2#7 (CP) over bar (2) admits an exotic smooth structure.
• Finiteness theorem for the Chow group of zero-cylcles of a linear group on a p-adic AI翻译
  作者：Colliot-Thélène, JL
  作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
• Dynamical entropy in Banach spaces AI翻译
  作者：Kerr, D; Li, HF
  作者单位：Texas A&M University System; Texas A&M University College Station; University of Tokyo; University of Toronto
  摘要：We introduce a version of Voiculescu-Brown approximation entropy for isometric automorphisms of Banach spaces and develop within this framework the connection between dynamics and the local theory of Banach spaces as discovered by Glasner and Weiss. Our fundamental result concerning this contractive approximation entropy, or CA entropy, characterizes the occurrence of positive values both geometrically and topologically. This leads to various applications; for example, we obtain a geometric de...
• Answers to some equisingularity questions AI翻译
  作者：de Bobadilla, JF
  作者单位：Utrecht University
  摘要：We give examples of families of hypersurface singularities with constant Le numbers, constant Milnor fibration and non-constant topological type, answering negatively a question of D. Massey. On the other hand we prove that the constancy of the Le numbers implies that the homotopy type of the link is constant along the family. As an application we give an example of a flat family of projective reduced and irreducible hypersurfaces having the same homotopy type but different topological type. A...
• The motivic fundamental group of P1\{0,1,∞} and the theorem of Siegel AI翻译
  作者：Kim, M
  作者单位：University of Arizona
• The Plancherel decomposition for a reductive symmetric space - II. Representation theory AI翻译
  作者：van den Ban, EP; Schlichtkrull, H
  作者单位：Utrecht University; Aarhus University; University of Copenhagen
  摘要：We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz functions, obtained in part I. The formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus. In the present paper we identify these integrals as matrix coefficients of the generalized principal series.
• Symbolic extensions and smooth dynamical systems AI翻译
  作者：Downarowicz, T; Newhouse, S
  作者单位：Wroclaw University of Science & Technology; Michigan State University
  摘要：Let f : X --> X be a homeomorphism of the compact metric space X. A symbolic extension of ( f, X) is a subshift on a finite alphabet ( g, Y) which has f as a topological factor. We show that a generic C-1 nonhyperbolic (i.e., non-Anosov) area preserving diffeomorphism of a compact surface has no symbolic extensions. For r > 1, we exhibit a residual subset R of an open set U of C-r diffeomorphisms of a compact surface such that if f is an element of R, then any possible symbolic extension has t...