3 papers
math.CT2025
The derivator of a dg-category
Francesco Genovese, Chiara Sava, Jan Šťovíček
In this work, we construct the stable derivator associated to a homotopically complete and cocomplete dg-category by explicitly defining homotopy Kan extensions via suitable weight…
math.CT2024
Deformations of triangulated categories with t-structures via derived injectives
Francesco Genovese, Wendy Lowen, Julie Symons +1
This paper provides the final ingredient in the development of the deformation theory of pretriangulated dg-categories endowed with a nice t-structure, which was initiated by the a…
math.AG2022
Uniqueness of dg-lifts via restriction to injective objects
Francesco Genovese
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…