Complete intersections and derived categories
Commutative Algebra
2009-06-23 v1 Algebraic Topology
Abstract
We propose a definition of when a triangulated category should be considered a complete intersection. We show (using work of Avramov and Gulliksen) that for the derived category of a complete local Noetherian commutative ring R, the condition on the derived category D(R) holds precisely when R is a complete intersection in the classical sense.
Keywords
Cite
@article{arxiv.0906.4025,
title = {Complete intersections and derived categories},
author = {D. J. Benson and J. P. C. Greenlees},
journal= {arXiv preprint arXiv:0906.4025},
year = {2009}
}