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Singular equivalences to locally coherent hearts of commutative noetherian rings (2109.13853v4)
Published 28 Sep 2021 in math.AC and math.RT
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.