English

Bridgeland stability conditions on normal surfaces

Algebraic Geometry 2024-11-18 v2

Abstract

We prove a new version of Bogomolov's inequality on normal proper surfaces. This allows to construct Bridgeland's stability condition on such surfaces. In particular, this gives the first known examples of stability conditions on non-projective, proper schemes.

Keywords

Cite

@article{arxiv.2310.04761,
  title  = {Bridgeland stability conditions on normal surfaces},
  author = {Adrian Langer},
  journal= {arXiv preprint arXiv:2310.04761},
  year   = {2024}
}

Comments

10 pages; v2: some small corrections, to appear in Annali di Matematica Pura ed Applicata

R2 v1 2026-06-28T12:43:18.998Z