Inventiones mathematicae

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• 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.
• Branched coverings of CP2 and invariants of symplectic 4-manifolds AI翻译
  作者：Auroux, D; Katzarkov, L
  作者单位：Institut Polytechnique de Paris; Ecole Polytechnique; University of California System; University of California Irvine
• 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
• Torsion points on modular curves AI翻译
  作者：Baker, MH
  作者单位：Harvard University
  摘要：Let N greater than or equal to 23 be a prime number. In this paper, we prove a conjecture of Coleman, Kaskel, and Ribet about the (Q) over bar-valued points of the modular curve Xo(N) which map to torsion points on J(0)(N) via the cuspidal embedding. We give some generalizations to other modular curves, and to noncuspidal embeddings of X-0(N) into J(0)(N).
• Triangulated categories and Kac-Moody algebras AI翻译
  作者：Peng, LG; Xiao, J
  作者单位：Sichuan University; Tsinghua University
  摘要：By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T-2 = 1, where T is the translation functor, In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories of finite dimensional hereditary associative algebras, gives a realization of all symmetrizable Kac-Moody Lie algebras.
• 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.