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<p>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.</p>

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Derived Projective Covers and Koszul Duality of Simple-Minded and Silting Collections

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  • 出版模式：

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  • 发表日期：

    2026年2月1日

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  • Lukas Bonfert

摘要

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.