8 citations · 18 across the 8 of their papers we have counts for
9 papers
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…
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…
T-structures on dg-categories and derived deformations
Francesco Genovese, Wendy Lowen, Michel Van den Bergh
This paper is a sequel to "t-structures and twisted complexes on derived injectives" by the same authors. We develop the foundations of the infinitesimal derived deformation theory…
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…
T-structures on unbounded twisted complexes
Francesco Genovese
This paper is a sequel to "T-structures and twisted complexes on derived injectives" by the same author with W. Lowen and M. Van den Bergh. We define a dg-category of unbounded twi…
A derived Gabriel-Popescu theorem for t-structures via derived injectives
Francesco Genovese, Julia Ramos González
We prove a derived version of the Gabriel-Popescu theorem in the framework of dg-categories and t-structures. This exhibits any pretriangulated dg-category with a suitable t-struct…
T-structures and twisted complexes on derived injectives
Francesco Genovese, Wendy Lowen, Michel Van den Bergh
In the paper "Deformation theory of abelian categories", the last two authors proved that an abelian category with enough injectives can be reconstructed as the category of finitel…
Adjunctions of quasi-functors between dg-categories
Francesco Genovese
We study right quasi-representable differential graded bimodules as quasi-functors between dg-categories. We prove that a quasi-functor has a left adjoint if and only if it is left…
The uniqueness problem of dg-lifts and Fourier-Mukai kernels
Francesco Genovese
We address the uniqueness problem of dg-lifts of exact functors between triangulated categories, and its relationship with the uniqueness problem of Fourier-Mukai kernels. We prove…