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arXiv · 2211.08550

Uniqueness of dg-lifts via restriction to injective objects

Francesco Genovese
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Abstract

We prove a uniqueness result of dg-lifts for the derived pushforward and pullback functors of a flat morphism between separated Noetherian schemes, between the unbounded or bounded below derived categories of quasi-coherent sheaves. The technique is purely algebraic-categorical and involves reconstructing dg-lifts uniquely from their restrictions to the subcategories of injective objects.

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Francesco Genovese. 2022-11-15. Uniqueness of dg-lifts via restriction to injective objects. https://arxiv.org/abs/2211.08550

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