English

A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

Algebraic Geometry 2015-03-09 v3

Abstract

We prove a generalized Bogomolov-Gieseker inequality as conjectured by Bayer, Macr\`i and Toda for the smooth quadric threefold. This implies the existence of a family of Bridgeland stability conditions.

Keywords

Cite

@article{arxiv.1309.4265,
  title  = {A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold},
  author = {Benjamin Schmidt},
  journal= {arXiv preprint arXiv:1309.4265},
  year   = {2015}
}

Comments

v1: 10 pages. v2: Updated references. v3: 11 pages. Several minor corrections. Accepted for publication in "Bulletin of the London Mathematical Society"