Cohomologically Cofinite Complexes
Commutative Algebra
2013-06-21 v2 Algebraic Geometry
K-Theory and Homology
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.
Cite
@article{arxiv.1208.4064,
title = {Cohomologically Cofinite Complexes},
author = {Marco Porta and Liran Shaul and Amnon Yekutieli},
journal= {arXiv preprint arXiv:1208.4064},
year = {2013}
}
Comments
16 pages, final version, to appear in Comm. Algebra