Finite homological dimension and a derived equivalence
K-Theory and Homology
2015-05-26 v3
Abstract
For a Cohen-Macaulay ring , we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence of the bounded derived category of finite length and finite projective dimension modules with the bounded derived category of projective modules with finite length homologies. This yields isomorphisms of various generalized cohomology groups (like K-theory) and improves on terms of a spectral sequence and Gersten complexes.
Cite
@article{arxiv.1406.0593,
title = {Finite homological dimension and a derived equivalence},
author = {William Sanders and Sarang Sane},
journal= {arXiv preprint arXiv:1406.0593},
year = {2015}
}
Comments
23 pages : Some parts of the article changed, especially section 3, to add clarity. Other minor corrections made