Singular equivalences to locally coherent hearts of commutative noetherian rings

0572904 - MÚ 2024 RIV NL eng J - Článek v odborném periodiku
Hrbek, Michal - Pavon, S.
Singular equivalences to locally coherent hearts of commutative noetherian rings.
Journal of Algebra. Roč. 632, October (2023), s. 117-153. ISSN 0021-8693. E-ISSN 1090-266X
Grant CEP: GA ČR(CZ) GA20-13778S
Institucionální podpora: RVO:67985840
Klíčová slova: Krause recollement * homotopy category * derived category
Obor OECD: Pure mathematics
Impakt faktor: 0.9, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.jalgebra.2023.05.022

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.
Trvalý link: https://hdl.handle.net/11104/0343430