English

Stability conditions on blowups

Algebraic Geometry 2025-04-01 v1

Abstract

We study the relation between perverse stability conditions and geometric stability conditions under blow up. We confirm a conjecture of Toda in some special cases and show that geometric stability conditions can be induced from perverse stability conditions from semiorthogonal decompositions associated to blowups.

Keywords

Cite

@article{arxiv.2503.23682,
  title  = {Stability conditions on blowups},
  author = {Nantao Zhang},
  journal= {arXiv preprint arXiv:2503.23682},
  year   = {2025}
}

Comments

17 pages. Comments are welcome!

R2 v1 2026-06-28T22:39:55.884Z