Generalized tilting theory
arXiv:1208.2803
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 Hügel-Koenig-Liu, Chen-Xi, Bazzoni-Pavarin,... on large tilting modules, homological epimorphisms and recollements.
This is a new version, with some remodeled sections and different proofs