Tilting preserves finite global dimension
Representation Theory
2020-05-12 v4
Abstract
Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.
Cite
@article{arxiv.1911.11749,
title = {Tilting preserves finite global dimension},
author = {Bernhard Keller and Henning Krause},
journal= {arXiv preprint arXiv:1911.11749},
year = {2020}
}
Comments
8 pages. Extended the introduction, including some historical comments. Revised the proof of Theorem 1, fixing an error. Added details about derived (co)limits. Accepted for publication with Comptes Rendus Math\'ematique