English

Nef vector bundles on a quadric threefold with first Chern class two

Algebraic Geometry 2025-06-25 v1

Abstract

We classify nef vector bundles on a smooth hyperquadric of dimension three with first Chern class two over an algebraically closed field of characteristic zero. In particular, we see that they are globally generated.

Keywords

Cite

@article{arxiv.2311.02836,
  title  = {Nef vector bundles on a quadric threefold with first Chern class two},
  author = {Masahiro Ohno},
  journal= {arXiv preprint arXiv:2311.02836},
  year   = {2025}
}

Comments

32pages

R2 v1 2026-06-28T13:12:16.954Z