Uniqueness of dg-lifts via restriction to injective objects
arXiv:2211.08550
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.
22 pages, preliminary version. Comments are welcome!