About the cohomological dimension of certain stratified varieties

Halic, Mihai; Tajarod, Roshan

doi:10.1090/proc/13691

About the cohomological dimension of certain stratified varieties
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by Mihai Halic and Roshan Tajarod PDF

Proc. Amer. Math. Soc. 145 (2017), 5157-5167 Request permission

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 sharp.

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