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arxiv: 1208.4064 · v2 · pith:LSAH326Onew · submitted 2012-08-20 · 🧮 math.AC · math.AG· math.KT

Cohomologically Cofinite Complexes

Marco Porta , Liran Shaul , Amnon Yekutieli This is my paper
classification 🧮 math.AC math.AGmath.KT
keywords cohomologicallycomplexescharacterizationcofinitecompletederiveda-adica-torsion
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Let A be a commutative noetherian ring, and \a an ideal in it. In this paper we continue the study, begun in [PSY1], of the derived \a-adic completion and the derived \a-torsion functors. Here are our results: (1) a structural characterization of bounded above cohomologically complete complexes; (2) the Cohomologically Complete Nakayama Theorem; and (3) a characterization of cohomologically cofinite complexes.

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