English

Disconnected moduli spaces of stable bundles on surfaces

Algebraic Geometry 2021-05-12 v1

Abstract

We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard rank one with arbitrarily many connected components.

Keywords

Cite

@article{arxiv.2105.04997,
  title  = {Disconnected moduli spaces of stable bundles on surfaces},
  author = {Izzet Coskun and Jack Huizenga and John Kopper},
  journal= {arXiv preprint arXiv:2105.04997},
  year   = {2021}
}

Comments

10 pages