Generalized tilting theory
Representation Theory
2017-05-19 v4 K-Theory and Homology
Abstract
We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent work by Bazzoni-Mantese-Tonolo, Yang, Angeleri H\"ugel-Koenig-Liu, Chen-Xi, Bazzoni-Pavarin,... on large tilting modules, homological epimorphisms and recollements.
Cite
@article{arxiv.1208.2803,
title = {Generalized tilting theory},
author = {Pedro Nicolas and Manuel Saorin},
journal= {arXiv preprint arXiv:1208.2803},
year = {2017}
}
Comments
This is a new version, with some remodeled sections and different proofs