The derived category of a locally complete intersection ring
Commutative Algebra
2020-09-28 v1 Category Theory
Abstract
In this paper, we answer a question of Dwyer, Greenlees, and Iyengar by proving a local ring is a complete intersection if and only if every complex of -modules with finitely generated homology is proxy small. Moreover, we establish that a commutative noetherian ring is locally a complete intersection if and only if every complex of -modules with finitely generated homology is virtually small.
Cite
@article{arxiv.1805.07627,
title = {The derived category of a locally complete intersection ring},
author = {Josh Pollitz},
journal= {arXiv preprint arXiv:1805.07627},
year = {2020}
}
Comments
14 pages