About the cohomological dimension of certain stratified varieties

2015/03/08 by Mihai Halic, Halic, Mihai, Roshan Tajarod +1
Mathematics · #12G10 #14B15 #14L30 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:12G10 #msc:14B15 #msc:14L30 #msc:14M25

paper · pdf · doi:10.48550/arxiv.1503.02283

arxiv created 2015/03/23 · arxiv updated 2015/03/24

Abstract

We determine an upper bound for the cohomological dimension of the complement of a closed subset in a projective variety which possesses an appropriate stratification. We apply the result to several particular cases, including the Bialynicki-Birula stratification; in this latter case, the bound is optimal.

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