Canonical modules of complexes

2016/03/01 by Maryam Akhavin, Akhavin, Maryam, Eero Hyry +1
Mathematics · #13D07 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D07 #msc:13D45

paper · pdf · doi:10.48550/arxiv.1603.00186

16 pages, to appear in the Journal of Pure and Applied Algebra

arxiv created 2016/03/01 · arxiv updated 2016/03/02

Abstract

We define the notion of the canonical module of a complex. We then consider Serre's conditions for a complex and study their relationship to the local cohomology of the canonical module and its ring of endomorphisms.

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