Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors and in particular through Giraud subcategories. We apply this point in order to develop a correspondence between Giraud subcategories of an abelian category C and those of its tilt H(C) i.e., the heart of a t-structure on the derived category D(C)i nduced by a torsion pair.
On tilted Giraud subcategories
COLPI, RICCARDO;FIOROT, LUISA;MATTIELLO, FRANCESCO
2016
Abstract
Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors and in particular through Giraud subcategories. We apply this point in order to develop a correspondence between Giraud subcategories of an abelian category C and those of its tilt H(C) i.e., the heart of a t-structure on the derived category D(C)i nduced by a torsion pair.
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