Resumen de On tilted Giraud subcategories

Riccardo Colpi , Luisa Fiorot, Francesco Mattiello

• 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 CC and those of its tilt H(C)H(C) i.e., the heart of a t -structure on the derived category D(C)D(C) induced by a torsion pair.