Duality for Koszul homology over Gorenstein rings

Claudia Miller, Hamidreza Rahmati, Janet Striuli

Research output: Contribution to journalArticle

Abstract

We study Koszul homology over local Gorenstein rings. It is well known that if an ideal is strongly Cohen-Macaulay the Koszul homology algebra satisfies Poincaré duality. We prove a version of this duality which holds for all ideals and allows us to give two criteria for an ideal to be strongly Cohen-Macaulay. The first can be compared to a result of Hartshorne and Ogus; the second is a generalization of a result of Herzog, Simis, and Vasconcelos using sliding depth.

Original languageEnglish (US)
Pages (from-to)329-343
Number of pages15
JournalMathematische Zeitschrift
Volume276
Issue number1-2
DOIs
StatePublished - Feb 1 2014

Keywords

  • Gorenstein ring
  • Poincaré duality
  • Strongly Cohen-Macaulay ideals

ASJC Scopus subject areas

  • Mathematics(all)

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