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The first $L^2$-Betti number and approximation in arbitrary characteristic
First L2-Betti number approximation in prime characteristic Group Theory
2012/6/19
Let G be a finitely generated group and (G_i) a descending chain of finite index normal subgroups of G. Given a field K, we consider the sequence b_1(G_i;K)/[G:G_i] of normalized first Betti numbers o...
New Ideas for Resolution of Singularities in Arbitrary Characteristic
New Ideas Resolution Singularities Arbitrary Characteristic
2010/11/11
Let $k$ be \emph{any} algebraically closed field in any characteristic, let $R$ be any regular local ring such that $R$ contains $k$ as a subring, the residue field of $R$ is isomorphic to $k$ as $k$...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...