On the support of local cohomology

JOURNAL OF ALGEBRA

卷:322

Article

Huneke, Craig¹  Katz, Daniel¹  Marley, Thomas² 

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

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

关键词: Local cohomology;    Support;    Associated primes;   

DOI  :  10.1016/j.jalgebra.2008.02.021

来源: Elsevier

【 摘 要 】

We examine the question of whether the support of an arbitrary local cohomology module of a finitely generated module over a Noetherian ring with support in a given ideal must be closed in the Zariski topology. Several results giving an affirmative answer to this question are given; in particular, we show that the support is closed when the given ideal has cohomological dimension at most two or the ambient ring is local of dimension at most four. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free