2000

最新文章

• 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
• Harmonic measure and expansion on the boundary of the connectedness locus AI翻译
  作者：Graczyk, J; Swiatek, G
  作者单位：Royal Institute of Technology; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
  摘要：The paper develops a technique for proving properties that are typical in the boundary of the connectedness locus with respect to the harmonic measure. A typical expansion condition along the critical orbit is proved. This condition implies a number of properties, including the Collet-Eckmann condition, Hausdorff dimension less than 2 for the Julia set, and the radial continuity in the parameter space of the Hausdorff dimensions of totally disconnected Julia sets.
• 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
• Universality and scaling of correlations between zeros on complex manifolds AI翻译
  作者：Bleher, P; Shiffman, B; Zelditch, S
  作者单位：Purdue University System; Purdue University; Purdue University in Indianapolis; Johns Hopkins University
  摘要：We study the limit as N --> infinity of the correlations between simultaneous zeros of random sections of the powers L-N of a positive holomorphic line bundle L over a compact complete manifold M, when distances are rescaled so that the average density of zeros is independent of N, We show that the limit correlation is independent of the line bundle and depends only on the dimension of M and the codimension of the zero sets, We also provide some explicit formulas for pair correlations. In part...
• Equivariant first order differential operators on boundaries of symmetric spaces AI翻译
  作者：Korányi, A; Reimann, HM
  作者单位：City University of New York (CUNY) System; Lehman College (CUNY); University of Bern