English

An introduction to Ulrich bundles

Algebraic Geometry 2016-12-16 v2

Abstract

After recalling the definition and basic properties of Ulrich bundles, we focus on the existence problem: does any smooth projective variety carry a Ulrich bundle? We show that the Serre construction provides a positive answer on certain surfaces and threefolds.

Keywords

Cite

@article{arxiv.1610.02771,
  title  = {An introduction to Ulrich bundles},
  author = {Arnaud Beauville},
  journal= {arXiv preprint arXiv:1610.02771},
  year   = {2016}
}

Comments

A few details added for the case of Fano threefolds

R2 v1 2026-06-22T16:15:51.778Z