About the cohomological dimension of certain stratified varieties
Algebraic Geometry
2015-03-24 v2
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.
Keywords
Cite
@article{arxiv.1503.02283,
title = {About the cohomological dimension of certain stratified varieties},
author = {Mihai Halic and Roshan Tajarod},
journal= {arXiv preprint arXiv:1503.02283},
year = {2015}
}