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Uniqueness of dg-lifts via restriction to injective objects (2211.08550v1)

Published 15 Nov 2022 in math.AG and math.CT

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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