Local cohomology and Lyubeznik numbers of F-pure rings

JOURNAL OF ALGEBRA

卷:571

Article

De Stefani, Alessandro¹  Grifo, Eloisa²  Nunez-Betancourt, Luis³ 

[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

关键词: F-pure rings;    Lyubeznik numbers;    Local cohomology;    Compatible ideals;   

DOI  :  10.1016/j.jalgebra.2018.07.014

来源: Elsevier

【 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.

【 授权许可】

Free