1996

最新文章

• Towards the Hanna Neumann conjecture using Dicks' method AI翻译
  作者：Tardos, G
  作者单位：HUN-REN; HUN-REN Institute for Computer Science & Control; Hungarian Academy of Sciences
  摘要：The Hanna Neumann conjecture states that the intersection of two nontrivial subgroups of rank k + 1 and I + 1 of a free group has rank at most kl + 1. In a recent paper [3] W. Dicks proved that a strengthened form of this conjecture is equivalent to his amalgamated graph conjecture. He used this equivalence to reprove all known upper bounds on the rank of the intersection. We use his method to improve these bounds. In particular we prove an upper bound of 2kl - k - l + 1 for the rank of the in...
• Upper bound on the characters of the symmetric groups AI翻译
  作者：Roichman, Y
  摘要：Let C be a conjugacy class in the symmetric group S-n, and lambda be a partition of n. Let f(lambda) be the degree of the irreducible representation S-lambda, chi(lambda)(C) - the character of S-lambda at C, and r(lambda)(C) - the normalized character chi(lambda)(C)/f(lambda). We prove that there exist constants b>0 and 1>q>0 such that for n>4, for every conjugacy class C in S-n and every irreducible representation S-lambda of S-n \r(lambda)(C)\less than or equal to(max{q,lambda(1)/n,lambda(1)...
• Proof of the Mahler-Manin conjecture AI翻译
  作者：BarreSireix, K; Diaz, G; Gramain, F; Philibert, G
• Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections AI翻译
  作者：Takakura, T
  摘要：We construct a family of polarizations of the moduli space of flat SU(n)-connections on a closed 2-manifold of genus g(greater than or equal to 2). These are generalizations of various polarizations known until now. That is, our family of polarizations includes Weitsman's real polarizations in the case of n = 2 [17], as well as the Kahler polarizations which are well known since [2] and [18]. Our construction is based on an original formulation of degeneration of Riemann surfaces. The relation...
• The Poisson boundary of the mapping class group AI翻译
  作者：Kaimanovich, VA; Masur, H
  作者单位：University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital
  摘要：A theory of random walks on the mapping class group and its non-elementary subgroups is developed. We prove convergence of sample paths in the Thurston compactification and show that the space of projective measured foliations with the corresponding harmonic measure can be identified with the Poisson boundary of random walks. The methods are based on an analysis of the asymptotic geometry of Teichmuller space and of the contraction properties of the action of the mapping class group on the Thu...
• Effective very ampleness AI翻译
  作者：Siu, YT
• Examples of extensions of PSL(2)(F-p) in simple Lie groups AI翻译
  作者：Serre, JP
• Complete manifolds with nonnegative Ricci curvature and large volume growth AI翻译
  作者：Shen, ZM
• Rationally connected homogeneous space AI翻译
  作者：Bien, F; Borel, A; Kollar, J
  作者单位：Institute for Advanced Study - USA; Utah System of Higher Education; University of Utah
• Effective bounds for very ample line bundles AI翻译
  作者：Demailly, JP
  摘要：Let L be an ample line bundle on a non singular projective n-fold X. It is first shown that 2K(X) + mL is very ample for m greater than or equal to 2 + ((3n+1)(n)). The proof develops an original idea of Y.T. Siu and is based on a combination of the Riemann-Roch theorem together with an improved Noetherian induction technique for the Nadel multiplier ideal sheaves. In the second part, an effective version of the big Matsusaka theorem is obtained, refining an earlier version of Y.T. Siu: there ...