Uniqueness of dg-lifts via restriction to injective objects
Algebraic Geometry
2022-11-17 v1 Category Theory
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.
Cite
@article{arxiv.2211.08550,
title = {Uniqueness of dg-lifts via restriction to injective objects},
author = {Francesco Genovese},
journal= {arXiv preprint arXiv:2211.08550},
year = {2022}
}
Comments
22 pages, preliminary version. Comments are welcome!