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 object over such a heart gives rise to an equivalence between the two Krause's recollements, and in particular, to a singular equivalence.

arXiv comment25 pages, some extra material added, exposition improved

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• Mutation and the Gabriel spectrum