Derived projective covers and Koszul duality of simple-minded and silting collections
Representation Theory
2026-03-04 v4
Abstract
We introduce derived projective covers and explain how they are related to the notion of enough derived projectives. This provides an if-and-only-if criterion for when derived projective covers form a silting collection. We prove moreover a Koszul duality result for silting and simple-minded collections.
Keywords
Cite
@article{arxiv.2309.00554,
title = {Derived projective covers and Koszul duality of simple-minded and silting collections},
author = {Lukas Bonfert},
journal= {arXiv preprint arXiv:2309.00554},
year = {2026}
}
Comments
29 pages. Minor corrections