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arXiv · 2309.00554

Derived projective covers and Koszul duality of simple-minded and silting collections

Lukas Bonfert
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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.

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Lukas Bonfert. 2023-09-01. Derived projective covers and Koszul duality of simple-minded and silting collections. https://doi.org/10.1007/s10485-025-09823-1

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