English

$R$-linear triangulated categories and stability conditions

Algebraic Geometry 2023-01-11 v3 Category Theory

Abstract

Let RR be a commutative ring. We introduce the notion of support of objects in an RR-linear triangulated category. As an application, we study the non-existence of Bridgeland stability conditions on RR-linear triangulated categories.

Keywords

Cite

@article{arxiv.2208.10034,
  title  = {$R$-linear triangulated categories and stability conditions},
  author = {Kotaro Kawatani},
  journal= {arXiv preprint arXiv:2208.10034},
  year   = {2023}
}

Comments

9 pages, v3: appendix by Hiroyuki Minamoto was added

R2 v1 2026-06-25T01:51:29.410Z