Singular equivalences to locally coherent hearts of commutative noetherian rings

0572904 - MÚ 2024 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA20-13778S
Institutional support: RVO:67985840
Keywords : Krause recollement * homotopy category * derived category
OECD category: Pure mathematics
Impact factor: 0.9, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0343430