English

Ulrich Bundles on Veronese surfaces

Algebraic Geometry 2021-09-20 v2

Abstract

We prove that every Ulrich bundle on the Veronese surface has a resolution in terms of twists of the trivial bundle over P2\mathbb{P}^{2}. Using this classification, we prove existence results for stable Ulrich bundles over Pk\mathbb{P}^{k} with respect to an arbitrary polarization dHdH.

Keywords

Cite

@article{arxiv.1609.07130,
  title  = {Ulrich Bundles on Veronese surfaces},
  author = {Emre Coskun and Ozhan Genc},
  journal= {arXiv preprint arXiv:1609.07130},
  year   = {2021}
}

Comments

to appear in the Proceedings of the AMS

R2 v1 2026-06-22T15:58:25.978Z