Work

Uniqueness of dg‐lifts via restriction to injective objects

Year: 2025

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70166

Author: Francesco Genovese

Institution: University of Milan

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Grantová Agentura České Republiky

Award: Symmetries, dualities and approximations in derived algebraic geometry and representation theory