English

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 tt-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