2005

最新文章

• 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.
• Perverse sheaves on real loop Grassmannians AI翻译
  作者：Nadler, D
  作者单位：University of Chicago
  摘要：The aim of this paper is to identify a certain tensor category of perverse sheaves on the loop Grassmannian Gr(R) of a real form G(R) of a connected reductive complex algebraic group G with the category of finite-dimensional representations of a connected reductive complex algebraic subgroup H of the dual group. G. The root system of H is closely related to the restricted root system of G(R). The fact that H is reductive implies that an interesting family of real algebraic maps satisfies the c...
• Multiple recurrence and nilsequences AI翻译
  作者：Bergelson, V; Host, B; Kra, B; Ruzsa, I
  作者单位：University System of Ohio; Ohio State University; Universite Gustave-Eiffel; Northwestern University; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Hungarian Academy of Sciences
  摘要：Aiming at a simultaneous extension of Khintchine's and Furstenberg's Recurrence theorems, we address the question if for a measure preserving system (X, X, mu, T) and a set A is an element of X of positive measure, the set of integers n such that mu( A boolean AND T-n A boolean AND T-2n A boolean AND... boolean AND T-kn A) >mu( A)(k+1) - epsilon is syndetic. The size of this set, surprisingly enough, depends on the length (k + 1) of the arithmetic progression under consideration. In an ergodic...
• The nilpotence conjecture in K-theory of toric varieties AI翻译
  作者：Gubeladze, J
  作者单位：California State University System; San Francisco State University
  摘要：It is shown that all nontrivial elements in higher K-groups of toric varieties are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.
• Infinitesimal form boundedness and Trudinger's subordination for the Schrodinger operator AI翻译
  作者：Maz'ya, VG; Verbitsky, IE
  作者单位：University System of Ohio; Ohio State University; University of Liverpool; University of Missouri System; University of Missouri Columbia
  摘要：We give explicit analytic criteria for two problems associated with the Schrodinger operator H = -Delta + Q on L-2(R-n) where Q is an element of D'(R-n) is an arbitrary real- or complex-valued potential. First, we obtain necessary and sufficient conditions on Q so that the quadratic form < Q(.), (.)> has zero relative bound with respect to the Laplacian. For Q is an element of L-loc(1)(R-n), this property can be expressed in the form of the integral inequality: vertical bar integral(Rn) vertic...
• On the number of quintic fields AI翻译
  作者：Kable, AC; Yukie, A
  作者单位：Oklahoma State University System; Oklahoma State University - Stillwater; Tohoku University
  摘要：We show that the number of quintic number fields whose discriminant does not exceed X in absolute value is bounded by a constant times X1+epsilon for any epsilon > 0. This may be compared with the conjecture that the number of such fields is asymptotic to a constant times X as X tends to infinity.
• Fuchsian groups, finite simple groups and representation varieties AI翻译
  作者：Liebeck, MW; Shalev, A
  作者单位：Imperial College London; Hebrew University of Jerusalem
  摘要：Let Gamma be a Fuchsian group of genus at least 2 (at least 3 if Gamma is non-oriented). We study the spaces of homomorphisms from Gamma to finite simple groups G, and derive a number of applications concerning random generation and representation varieties. Precise asymptotic estimates for |Hom(Gamma, G)| are given, implying in particular that as the rank of G tends to infinity, this is of the form |G|(mu(Gamma)+ 1+ o(1)), where mu(Gamma) is the measure of G. We then prove that a randomly cho...
• Valuative analysis of planar plurisubharmonic functions AI翻译
  作者：Favre, C; Jonsson, M
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; University of Michigan System; University of Michigan; Royal Institute of Technology
  摘要：We show that valuations on the ring R of holomorphic germs in dimension 2 may be naturally evaluated on plurisubharmonic functions, giving rise to generalized Lelong numbers in the sense of Demailly. Any plurisubharmonic function thus defines a real-valued function on the set V of valuations on R and - by way of a natural Laplace operator defined in terms of the tree structure on V - a positive measure on V. This measure contains a great deal of information on the singularity at the origin. Un...
• 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)
• The minimal model program for orders over surfaces AI翻译
  作者：Chan, D; Ingalls, C
  作者单位：University of New South Wales Sydney; University of New Brunswick
  摘要：We develop the minimal model program for orders over surfaces and so establish a noncommutative generalisation of the existence and uniqueness of minimal algebraic surfaces. We define terminal orders and show that they have unique etale local structures. This shows that they are determined up to Morita equivalence by their centre and algebra of quotients. This reduces our problem to the study of pairs (Z,alpha) consisting of a surface Z and an element alpha of the Brauer group Brk(Z). We then ...