English

Stability conditions and birational geometry of projective surfaces

Algebraic Geometry 2019-02-20 v2

Abstract

We show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of coherent sheaves.

Keywords

Cite

@article{arxiv.1205.3602,
  title  = {Stability conditions and birational geometry of projective surfaces},
  author = {Yukinobu Toda},
  journal= {arXiv preprint arXiv:1205.3602},
  year   = {2019}
}

Comments

39 pages, to appear in Compositio Mathematica