Singular equivalences to locally coherent hearts of commutative noetherian rings
Commutative Algebra
2023-12-08 v4 Representation Theory
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 -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.
Keywords
Cite
@article{arxiv.2109.13853,
title = {Singular equivalences to locally coherent hearts of commutative noetherian rings},
author = {Michal Hrbek and Sergio Pavon},
journal= {arXiv preprint arXiv:2109.13853},
year = {2023}
}
Comments
25 pages, some extra material added, exposition improved