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作者：Bierstone, E; Milman, PD
摘要：This article contains an elementary constructive proof of resolution of singularities in characteristic zero, Our proof al,plies in particular to schemes of finite type and to analytic spaces (so we recover the great theorems of Hironaka), We introduce a discrete local invariant inv(X)(a) whose maximum locus determines a smooth centre of blowing up, leading to desingularization, To define inv(X), we need only to work with a category of local-ringed spaces X = (/X/, C-X) satisfying certain natu...
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作者：Krstic, S; McCool, J
作者单位：Tufts University; University of Toronto
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作者：Tarasov, V; Varchenko, A
作者单位：University of North Carolina; University of North Carolina Chapel Hill
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作者：Floyd, W; Parry, W
作者单位：Eastern Michigan University
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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...
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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)...
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作者：BarreSireix, K; Diaz, G; Gramain, F; Philibert, G
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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...
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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...
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作者：Siu, YT
