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最新文章

• A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations AI翻译
  作者：Duke, W; Kowalski, E
  作者单位：Rutgers University System; Rutgers University New Brunswick
• Monodromy of certain Painleve-VI transcendents and reflection groups AI翻译
  作者：Dubrovin, B; Mazzocco, M
  作者单位：International School for Advanced Studies (SISSA)
  摘要：We study the global analytic properties of the solutions of a particular family of Painleve VI equations with the parameters beta = gamma = 0, delta = 1/2 and 2 alpha = (2 mu-1)(2) with arbitrary mu, 2 mu is not an element of Z. We introduce a class of solutions having critical behaviour of algebraic type, and completely compute the structure of the analytic continuation of these solutions in terms of an auxiliary reflection group in the three dimensional space. The analytic continuation is gi...
• Automorphisms of convex cones AI翻译
  作者：Benoist, Y
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS)
  摘要：One studies the subgroups of GL(m, R) which preserve a properly convex cone of R-m and whose action on R-m is irreducible. In particular, one describes the Zariski closure of these subgroups. As an application, one describes the Zariski closure G of the subgroups of GL(m, R) all of whose elements have nothing but positive eigenvalues. For instance, one can get the group G = GL(m, R) if and only if m not equal 2 modulo 4.
• Mollification of the fourth moment of automorphic L-functions and arithmetic applications AI翻译
  作者：Kowalski, E; Michel, P; VanderKam, J
  作者单位：Princeton University; Universite de Montpellier; Institut Universitaire de France; Center for Communications & Computing
  摘要：We compute the asymptotics of twisted fourth power moments of modular L-functions of large prime level near the critical line. This allows us to prove some new non-vanishing results on the central values of automorphic L-functions, in particular those obtained by base change from GL(2)(Q) to GL(2)(K) for K a cyclic field of low degree.
• On the Iwasawa invariants of elliptic curves AI翻译
  作者：Greenberg, R; Vatsal, V
  作者单位：University of Washington; University of Washington Seattle; University of British Columbia
• Height pairings on Shimura curves and p-adic uniformization AI翻译
  作者：Kudla, SS; Rapoport, M
  作者单位：University System of Maryland; University of Maryland College Park; University of Cologne
• Formal deformations of wildly ramified cover AI翻译
  作者：Bertin, J; Mézard, A
  作者单位：Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA)
  摘要：In this paper we study formal moduli for wildly ramified Galois covering. We prove a local-global principle. We then focus on the infinitesimal deformations of the Z/pZ-covers. We explicitly compute a deformation of an automorphism of order p which implies a universal obstruction for p > 2. By deforming Artin-Schreier equations we obtain a lower bound on the dimension of the local versal deformation ring. At last, by comparing the global versal deformation ring to the complete local ring in a ...
• Compactification of a class of conformally flat 4-manifold AI翻译
  作者：Chang, SYA; Qing, J; Yang, PC
  作者单位：Princeton University; University of California System; University of California Los Angeles; University of California System; University of California Santa Cruz; University of Southern California
  摘要：In this paper we generalize Huber's result on complete surfaces of finite total curvature. For complete locally conformally flat 4-manifolds of positive scalar curvature with Q curvature integrable, where Q is a variant of the Chern-Gauss-Bonnet integrand; we first derive the Cohn-Vossen inequality. We then establish finiteness of the topology. This allows us to provide conformal compactification of such manifolds.
• Hedge integrals and Gromov-Witten theory AI翻译
  作者：Faber, C; Pandharipande, R
  作者单位：Oklahoma State University System; Oklahoma State University - Stillwater