An Auslander-Reiten principle in derived categories
Commutative Algebra
2018-05-16 v1
Abstract
We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show the validity of the Auslander-Reiten conjecture over a Gorenstein ring in the case where the ring has dimension larger than two and the singular locus has at most one dimension.
Cite
@article{arxiv.1805.05676,
title = {An Auslander-Reiten principle in derived categories},
author = {Maiko Ono and Yuji Yoshino},
journal= {arXiv preprint arXiv:1805.05676},
year = {2018}
}
Comments
This is the pre-peer reviewed version of the published article; 11 pages