Singular equivalences to locally coherent hearts of commutative noetherian rings

Abstract

We show that Krause's recollement exists for any locally coherent Grothendieck category such that its 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 objects in these hearts give rise to an equivalence between the two Krause's recollements, and in particular to a singular equivalence. ContentsIntroduction 1 1. Preliminaries 2 2. Krause's recollement for locally coherent Grothendieck categories 8 3. Restrictable t-structures 14 4. The equivalence of recollements 17 References 21