Annals of Mathematics

最新文章

• Embeddedness of minimal surfaces with total boundary curvature at most 4π AI翻译
  作者：Ekholm, T; White, B; Wienholtz, D
  摘要：This paper proves that classical minimal surfaces of arbitrary topological type with total boundary curvature at most 4pi must be smoothly embedded. Related results are proved for varifolds and for soap film surfaces.
• Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur AI翻译
  作者：Ramakrishna, R
• Algebraization of Frobenius splitting via quantum groups AI翻译
  作者：Kumar, S; Littelmann, P
  摘要：An important breakthrough in understanding the geometry of Schubert varieties was the introduction of the notion of Frobenius split varieties and the result that the flag varieties GIP are Frobenius split. The aim of this article is to give in this case a complete and self contained representation theoretic approach to this method. The geometric Frobenius method (in char k = p > 0) will here be replaced by Lusztig's Robenius maps for quantum groups at roots of unity (which exist not only for p...
• 5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball AI翻译
  作者：Klartag, B
  摘要：This paper proves that for every convex body in R-n there exist 5n Minkowski symmetrizations which transform the body into an approximate Euclidean ball. This result complements the sharp cn log n upper estimate by J. Bourgain, J. Lindenstrauss and V.D. Milman, of the number of random Minkowski symmetrizations sufficient for approaching an approximate Euclidean ball.
• Matzoh ball soup: Heat conductors with a stationary isothermic surface AI翻译
  作者：Magnanini, R; Sakaguchi, S
  摘要：We consider a bounded heat conductor that satisfies the exterior sphere condition. Suppose that, initially, the conductor has temperature 0 and, at all times, its boundary is kept at temperature 1. We show that if the conductor contains a proper sub-domain, satisfying the interior cone condition and having constant boundary temperature at each given time, then the conductor must be a ball.
• Teichmuller theory and handle addition for minimal surfaces AI翻译
  作者：Weber, M; Wolf, M
• Superlogarithmic estimates on pseudoconvex domains and CR manifolds AI翻译
  作者：Kohn, JJ
  摘要：This paper is concerned with proving superlogarithmic estimates for the operator square(b) on pseudoconvex CR manifolds and using them to establish hypoellipticity of square(b) and of the partial derivative-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.
• partial derivative-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics AI翻译
  作者：Siu, YT
• Estimates on Green's functions, localization and the quantum kicked rotor model AI翻译
  作者：Bourgain, J
• Convergence of spherical averages for actions of free groups AI翻译
  作者：Bufetov, AI