A finiteness condition on local cohomology in positive characteristic

2011/01/25 by Florian Enescu, Enescu, Florian
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1101.4907

minor corrections, to appear in Journal of Pure and Applied Algebra

arxiv created 2011/04/25 · arxiv updated 2011/04/26

Abstract

In this paper we present a condition on a local Cohen-Macaulay F-injective ring of positive characteristic p > 2 which implies that its top local cohomology module with support in the maximal ideal has finitely many Frobenius compatible submodules.

Related

• Finiteness properties of local cohomology for F-pure local rings
• The Frobenius Structure of Local Cohomology
• Finiteness properties of formal local cohomology modules and Cohen-Macaulayness
• Strong F-regularity and generating morphisms of local cohomology modules
• The support of local cohomology modules