Title:
On
the Homology of Completion and Torsion
Authors:
Marco Porta, Liran Shaul and Amnon Yekutieli
Publication status:
Algebras
and Repesentation Theory
17
(2014),
31–67.
Errata:
Erratum
to: On the Homology of Completion and Torsion
Algebras
and Representation Theory:
Volume 18, Issue 5 (2015), Page 1401-1405
Abstract: Let A be a commutative ring, and \a a weakly proregular ideal in A. This includes the noetherian case: if A is noetherian then any ideal in it is weakly proregular; but there are other interesting examples. In this paper we prove the MGM equivalence, which is an equivalence between the category of cohomologically \a-adically complete complexes and the category of cohomologically \a-torsion complexes. These are triangulated subcategories of the derived category of A-modules. Our work extends earlier work by Alonso- Jeremias-Lipman, Schenzel and Dwyer-Greenlees.
eprint arXiv:1010.4386
published paper (full pdf requires permission)
DOI http://dx.doi.org/10.1007/s10468-012-9385-8.
Errata:
updated 19 November 2015