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arXiv · 2109.13853

Singular equivalences to locally coherent hearts of commutative noetherian rings

Michal Hrbek·Sergio Pavon
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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.

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Michal Hrbek, Sergio Pavon. 2021-09-28. Singular equivalences to locally coherent hearts of commutative noetherian rings. https://doi.org/10.1016/j.jalgebra.2023.05.022

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