ABOUT THE COHOMOLOGICAL DIMENSION OF CERTAIN STRATIFIED VARIETIES

被引：1

作者：

Halic, Mihai ^{[1
]}

Tajarod, Roshan ^{[1
]}

机构：

[1] Univ Montreal, CNRS, UMI 3457, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 12期

关键词：

Cohomological dimension; local cohomology; affine stratification; ALGEBRAIC-VARIETIES; MODULES; HOMOLOGY; THEOREM;

D O I：

10.1090/proc/13691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：5157 / 5167

页数：11

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