English

Semistability conditions defined by ample classes

Algebraic Geometry 2024-02-19 v2

Abstract

We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.

Keywords

Cite

@article{arxiv.2402.07758,
  title  = {Semistability conditions defined by ample classes},
  author = {Damien Mégy and Mihai Pavel and Matei Toma},
  journal= {arXiv preprint arXiv:2402.07758},
  year   = {2024}
}

Comments

21 pages, v2: Mistake corrected in the proof of the HN property

R2 v1 2026-06-28T14:46:09.021Z