Cohomologically Cofinite Complexes

Marco Porta; Liran Shaul; Amnon Yekutieli

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arXiv · 1208.4064

Cohomologically Cofinite Complexes

Marco Porta·Liran Shaul·Amnon Yekutieli

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Abstract

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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Marco Porta, Liran Shaul, Amnon Yekutieli. 2012-08-20. Cohomologically Cofinite Complexes. https://arxiv.org/abs/1208.4064

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