Annals of Mathematics

最新文章

• Analytic homomorphisms into Drinfeld modules AI翻译
  作者：Yu, J
• Topology and curvature of properly embedded minimal surfaces in 3-space AI翻译
  作者：Collin, P
• Yang's system of particles and Hecke algebras (vol 145, pg 139, 1997) AI翻译
  作者：Heckman, GJ; Opdam, EM
• Ricci curvature and volume convergence AI翻译
  作者：Colding, TH
• Central extensions of word hyperbolic groups AI翻译
  作者：Neumann, WD; Reeves, L
• Quantum limits on flat tori AI翻译
  作者：Jakobson, D
  摘要：We classify all weak * limits of squares of normalized eigenfunctions of the Laplacian on two-dimensional flat tori (called quantum limits). We also obtain several results about such limits in dimensions three and higher. Many of the results are a consequence of a geometric lemma which describes a property of simplices of codimension one in R-n whose vertices are lattice points on spheres. The lemma follows from the finiteness of the number of solutions of a system of two Pell equations. A con...
• A rigid analytic Gross-Zagier formula and arithmetic applications AI翻译
  作者：Bertolini, M; Darmon, H; Edixhoven, B
• The most continuous part of the Plancherel decomposition for a reductive symmetric space AI翻译
  作者：vandenBan, EP; Schlichtkrull, H
• Localization and completion theorems for MU-module spectra AI翻译
  作者：Greenlees, JPC; May, JP
  摘要：Let G be a finite extension of a torus. WVorking with highly structured ring and module spectra, let M be any module over MU; examples include all of the standard homotopical MU-modules, such as the Brown-Peterson and Morava K-theory spectra. We shall prove localization and completion theorems for the computation of M*(BG) and M*(BG). The G-spectrum MUG that represents stabilized equivariant complex cobordism is an algebra over the equivariant sphere spectrum S-G, and there is an MUG-module M-...
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds AI翻译
  作者：Rabier, PJ
  摘要：The central result of this paper is a generalization of the Ehresmann fibration theorem to the infinite-dimensional and/or non-proper setting. With this aim, we introduce the concepts of strong submersion and of mapping with uniformly split kernels. First applications include a global Implicit Function Theorem and a necessary and sufficient version of Hadamard's global invertibility criterion in the setting of Finsler manifolds. Another major application makes use of the idea of asymptotic cri...