English

Moduli of Bridgeland semistable objects on $\mathbb{P}^2$

Algebraic Geometry 2010-03-30 v3

Abstract

We give another proof of Le Potier's result and some variants on moduli spaces of semistable sheaves on the projective plane, using the Bridgeland stability conditions. As an application we study the wall-crossing phenomena of the Hilbert schemes of points on the projective plane.

Keywords

Cite

@article{arxiv.0812.1470,
  title  = {Moduli of Bridgeland semistable objects on $\mathbb{P}^2$},
  author = {Ryo Ohkawa},
  journal= {arXiv preprint arXiv:0812.1470},
  year   = {2010}
}

Comments

41 pages, to appear in Kodai Mathematical Journal

R2 v1 2026-06-21T11:49:23.777Z