Local cohomology and Lyubeznik numbers of F-pure rings

被引：2

作者：

De Stefani, Alessandro ^{[1
]}

Grifo, Eloisa ^{[2
]}

Nunez-Betancourt, Luis ^{[3
]}

机构：

[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[3] Ctr Invest Matemat, Guanajuato, Gto, Mexico

来源：

JOURNAL OF ALGEBRA | 2021年 / 571卷

基金：

美国国家科学基金会;

关键词：

F-pure rings; Lyubeznik numbers; Local cohomology; Compatible ideals; BASS NUMBERS; MODULES; INVARIANTS; DIMENSION; PURITY;

D O I：

10.1016/j.jalgebra.2018.07.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study certain local cohomology modules over F-pure rings. We give sufficient conditions for the vanishing of some Lyubeznik numbers, derive a formula for computing these invariants when the F-pure ring is standard graded and, by its means, we provide some new examples of Lyubeznik tables. We study associated primes of certain Ext-modules, showing that they are all compatible ideals. Finally, we focus on properties that Lyubeznik numbers detect over a globally F-split projective variety. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：316 / 338

页数：23

共 45 条

[1] The structure of F-pure rings [J].