Singular equivalences to locally coherent hearts of commutative noetherian rings

Abstract

We show that Krause's recollement exists for any locally coherent Grothendieck category whose derived category is compactly generated. As a source of such categories, we consider the hearts of intermediate and restrictable t-structures in the derived category of a commutative noetherian ring. We show that the induced tilting object over such a heart gives rise to an equivalence between the two Krause's recollements, and in particular, to a singular equivalence.