English

Some moduli spaces of Bridgeland's stability conditions

Algebraic Geometry 2011-12-30 v3

Abstract

We shall study some moduli spaces of Bridgeland's semi-stable objects on abelian surfaces and K3 surfaces with Picard number 1. Under some conditions, we show that the moduli spaces are isomorphic to the moduli spaces of Gieseker semi-stable sheaves. We also study the ample cone of the moduli spaces.

Keywords

Cite

@article{arxiv.1111.6187,
  title  = {Some moduli spaces of Bridgeland's stability conditions},
  author = {Hiroki Minamide and Shintarou Yanagida and Kota Yoshioka},
  journal= {arXiv preprint arXiv:1111.6187},
  year   = {2011}
}

Comments

25 pages, the appendix is expanded, sect. 4.2 is modified