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 twisted complexes on a dg-category, which is particularly interesting in the case of dg-categories of derived injectives or derived projectives associated to a t-structure. On such unbounded twisted complexes we define a natural “injective” and dually a “projective” t-structure. This is intended as a direct generalization of the homotopy categories of injective or projective objects of an abelian category.
T-structures on unbounded twisted complexes / F. Genovese. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 305:2(2023), pp. 18.1-18.51. [10.1007/s00209-023-03340-4]
T-structures on unbounded twisted complexes
F. Genovese
2023
Abstract
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 twisted complexes on a dg-category, which is particularly interesting in the case of dg-categories of derived injectives or derived projectives associated to a t-structure. On such unbounded twisted complexes we define a natural “injective” and dually a “projective” t-structure. This is intended as a direct generalization of the homotopy categories of injective or projective objects of an abelian category.File | Dimensione | Formato | |
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