3期

最新文章

• Nilpotent commuting varieties of reductive Lie algebras AI翻译
  作者：Premet, A
  作者单位：University of Manchester
  摘要：Let G be a connected reductive algebraic group over an algebraically closed field k of characteristic p greater than or equal to 0, and g = Lie G. In positive characteristic, suppose in addition that p is good for G and the derived subgroup of G is simply connected. Let N = N(g) denote the nilpotent variety of g, and C-nil(g) := {(x,y) is an element of N x N \ [x, y] = 0}, the nilpotent commuting variety of g. Our main goal in this paper is to show that the variety C-nil(g) is equidimensional....
• Analytic continuation of holomorphic correspondences and equivalence of domains in Cn AI翻译
  作者：Shafikov, R
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：The following result is proved: Let D and D' be bounded domains in C-n, partial derivativeD is smooth, real-analytic, simply connected, and partial derivativeD' is connected, smooth, real-algebraic. Then there exists a proper holomorphic correspondence f : D --> D' if and only if there exist points p is an element of partial derivativeD and p' is an element of partial derivativeD', such that partial derivativeD and partial derivativeD' are locally CR-equivalent near p and p'. This leads to a c...
• A correction to Epp's paper Elimination of wild ramification AI翻译
  作者：Kuhlmann, FV
  作者单位：University of Saskatchewan
  摘要：We fill a gap in the proof of one of the central theorems in Epp's paper, concerning p-cyclic extensions of complete discrete valuation rings. In his famous paper [1], Epp considers the following situation: S and R are two discrete valuation rings such that (1) S dominates R, and (2) if the characteristic p of the residue field of S is not zero, then its largest perfect subfield is separable and algebraic over the residue field of R. He proves that then, there exists a discrete valuation ring ...
• Homotopy equivalences of p-completed classifying spaces of finite groups AI翻译
  作者：Broto, C; Levi, R; Oliver, B
  作者单位：Autonomous University of Barcelona; University of Aberdeen
  摘要：We study homotopy equivalences of p-completions of classifying spaces of finite groups. To each finite group G and each prime p, we associate a finite category L-p(c)(G) with the following properties. Two p-completed classifying spaces BG((p) over cap) and BG'(p) over cap have the same homotopy type if and only if the associated categories L-p(c)(G) and L-p(c)(G') are equivalent. Furthermore, the topological monoid Aut(BG((p) over cap)) of self equivalences is determined by the self equivalenc...
• Stable maps and Quot schemes AI翻译
  作者：Popa, M; Roth, M
  作者单位：Harvard University; University of Michigan System; University of Michigan
• Isomorphic Steiner symmetrization AI翻译
  作者：Klartag, MB; Milman, VD
  作者单位：Tel Aviv University
  摘要：This paper proves that there exist 3n Steiner symmetrizations that transform any convex set K subset of R-n into an isomorphic Euclidean ball; i.e. if vol(K)=vol(D-n) where D-n is the standard Euclidean unit ball, then K can be transformed into a body (K) over tilde such that c(1)D(n) subset of (K) over tilde c(2)D(n), where c(1), c(2) are numerical constants. Moreover, for any c>2, cn symmetrizations are also enough.
• The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation AI翻译
  作者：Guan, PF; Ma, XN
  作者单位：McMaster University; East China Normal University