Cohomologically Cofinite Complexes

By M. Porta, Liran Shaul, Amnon Yekutieli. 2012

46 citations recorded by the source corpus.

Let A be a commutative noetherian ring, and 𝔞 an ideal in it. In this paper we continue the study, begun in [11], 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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d304d9304f115dcfaf1ec9f25354914f5aec28f7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Amnon Yekutieli

In Geometry and Topology

1. Amnon Yekutieli
2. Andrei Căldăraru
3. Michel van den Bergh
4. Yukinobu Toda
5. A. Ramadoss
6. Masaki Kashiwara
7. James J. Zhang
8. Wendy Lowen

Citations in the corpus

• Derived Categories (2016, background): “4 with A = K, namely D(M), is almost never used (an exception is [120]).”