Inventiones mathematicae

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• Answers to some equisingularity questions AI翻译
  作者：de Bobadilla, JF
  作者单位：Utrecht University
  摘要：We give examples of families of hypersurface singularities with constant Le numbers, constant Milnor fibration and non-constant topological type, answering negatively a question of D. Massey. On the other hand we prove that the constancy of the Le numbers implies that the homotopy type of the link is constant along the family. As an application we give an example of a flat family of projective reduced and irreducible hypersurfaces having the same homotopy type but different topological type. A...
• On the ramification of Hecke algebras at Eisenstein primes AI翻译
  作者：Calegari, F; Emerton, M
  作者单位：Harvard University; Northwestern University
• Measures of linear independance of logarithms in a commutative algebraic group AI翻译
  作者：Gaudron, É
  作者单位：Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：This work falls within the theory of linear forms in logarithms over a connected and commutative algebraic group, defined over the field of algebraic numbers (Q) over bar. Let G be such a group. Let W be a hyperplane of the tangent space at the origin of G, defined over (Q) over bar, and u be a complex point of this tangent space, such that the image of u by the exponential map of the Lie group G(C) is an algebraic point. Then we obtain a lower bound for the distance between u and W circle tim...
• The motivic fundamental group of P1\{0,1,∞} and the theorem of Siegel AI翻译
  作者：Kim, M
  作者单位：University of Arizona
• Non-minimal scalar-flat Kahler surfaces and parabolic stability AI翻译
  作者：Rollin, Y; Singer, M
  作者单位：Massachusetts Institute of Technology (MIT)
  摘要：A new construction is presented of scalar-flat Kahler metrics on non-minimal ruled surfaces. The method is based on the resolution of singularities of orbifold ruled surfaces which are closely related to rank-2 parabolically stable holomorphic bundles. This rather general construction is shown also to give new examples of low genus: in particular, it is shown that CP2 blown up at 10 suitably chosen points, admits a scalar-flat Kahler metric; this answers a question raised by Claude LeBrun in 1...
• The Plancherel decomposition for a reductive symmetric space - II. Representation theory AI翻译
  作者：van den Ban, EP; Schlichtkrull, H
  作者单位：Utrecht University; Aarhus University; University of Copenhagen
  摘要：We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz functions, obtained in part I. The formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus. In the present paper we identify these integrals as matrix coefficients of the generalized principal series.
• Isomorphisms of Kac-Moody groups AI翻译
  作者：Caprace, PE; Mühlherr, B
  作者单位：Universite Libre de Bruxelles
  摘要：We give the solution of the isomorphism problem for Kac-Moody groups over algebraically closed fields of any characteristic. In particular, we prove a conjecture of Kac and Peterson and compute the automorphism group of a Kac-Moody group over an algebraically closed field of characteristic zero.
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry AI翻译
  作者：Welschinger, JY
  作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We first build the moduli spaces of real rational pseudo-holomorphic curves in a given real symplectic 4-manifold. Then, following the approach of Gromov and Witten [3,19,11], we define invariants under deformation of real symplectic 4-manifolds. These invariants provide lower bounds for the number of real rational J-holomorphic curves which realize a given homology class and pass through a given real configuration of points.
• Studying links via closed braids IV: composite links and split links (vol 102, pg 115, 1990) AI翻译
  作者：Birman, JS; Menasco, WW
  作者单位：Columbia University; State University of New York (SUNY) System; Buffalo State University
• Instanton counting on blowup. I. 4-dimensional pure gauge theory AI翻译
  作者：Nakajima, H; Yoshioka, K
  作者单位：Kyoto University; Kobe University
  摘要：We give a mathematically rigorous proof of Nekrasov's conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on R-4 gives a deformation of the Seiberg-Witten prepotential for N = 2 SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of R-4, we derive a differential equation for the Nekrasov's partition function. It is a deformation of the equation for the Seiberg-Witten prepotential, found by Losev et al., and further studied by Gorsky...