On the matlis duals of local cohomology modules

Gennady Lyubeznik, Tuğba Yildirim

Research output: Contribution to journalArticle

Abstract

Let (R, m) be a Noetherian regular local ring of characteristic p > 0 and let I be a nonzero ideal of R. Let D(−) = HomR(−, E) be the Matlis dual functor, where E = ER(R/m) is the injective hull of the residue field R/m. In this short note, we prove that if Hi I(R) ≠ 0, then SuppR(D(Hi I(R))) = Spec(R).

Original languageEnglish (US)
Pages (from-to)3715-3720
Number of pages6
JournalProceedings of the American Mathematical Society
Volume146
Issue number9
DOIs
StatePublished - Jan 1 2018

Keywords

  • F-modules
  • Local cohomology
  • Matlis duality

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