Annals of Mathematics

最新文章

• Modularity of the Rankin-Selberg L-series, and multiplicity one for SL(2) AI翻译
  作者：Ramakrishnan, D
• Counting dimensions of L-harmonic functions AI翻译
  作者：Li, P; Wang, JP
• Arithmetic-type Gevrey series, I. Theorem of purity and duality AI翻译
  作者：André, Y
• The topology of deformation spaces of Kleinian groups AI翻译
  作者：Anderson, JW; Canary, RD; McCullough, D
  摘要：Let M be a compact, hyperbolizable 3-manifold with nonempty incompressible boundary and let AH(pi (1)(M)) denote the space of (conjugacy classes of) discrete faithful representations of pi (1)(M) into PSL2(C). The components of the interior MP(pi (1)(M)) of AH(pi (1)(M)) (as a subset of the appropriate representation variety) are enumerated by the space A(M) of marked homeomorphism types of oriented, compact, irreducible 3-manifolds homotopy equivalent to M. In this paper, we give a topologica...
• Gradient estimates and blow-up analysis for stationary harmonic maps AI翻译
  作者：Lin, FH
  摘要：For stationary harmonic maps between Riemannian manifolds, we provide a necessary and sufficient condition for the uniform interior and boundary gradient estimates in terms of the total energy of maps. We also show that if analytic target manifolds do not carry any harmonic S-2, then the singular sets of stationary maps are m less than or equal to n - 4 rectifiable. Both of these results follow from a general analysis on the defect measures and energy concentration sets associated with a weakl...
• The classification of punctured-torus groups AI翻译
  作者：Minsky, YN
  摘要：Thurston's ending lamination conjecture proposes that a finitely generated Kleinian group is uniquely determined (up to isometry) by the topology of its quotient and a list of invariants that describe the asymptotic geometry of its ends. We present a proof of this conjecture for punctured-torus groups. These are free two-generator Kleinian groups with parabolic commutator, which should be thought of as representations of the fundamental group of a punctured torus. As a consequence we verify th...
• A positive solution to the Busemann-Petty problem in R4 AI翻译
  作者：Zhang, GY
• General linear and functor cohomology over finite fields AI翻译
  作者：Franjou, V; Friedlander, EM; Scorichenko, A; Suslin, A
• Mapping tori of free group automorphisms are coherent AI翻译
  作者：Feighn, M; Handel, M
  摘要：The mapping torus of an endomorphism Phi of a group G is the HNN-extension G*(G) with bonding maps the identity and Phi. We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated subgroups are finitely presented and, moreover, these subgroups are of finite type.
• Some results on Green's higher Abel-Jacobi map AI翻译
  作者：Voisin, C