Globally generated vector bundles of rank 2 on a smooth quadric threefold

Edoardo Ballico; Sukmoon Huh; Francesco Malaspina

doi:10.1016/j.jpaa.2013.05.005

Globally generated vector bundles of rank 2 on a smooth quadric threefold

Algebraic Geometry 2013-06-05 v2

Authors: Edoardo Ballico , Sukmoon Huh , Francesco Malaspina

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Abstract

We investigate the existence of globally generated vector bundles of rank 2 with $c_1\leq 3$ on a smooth quadric threefold and determine their Chern classes. As an automatic consequence, every rank 2 globally generated vector bundle on $Q$ with $c_1=3$ is an odd instanton up to twist.

Keywords

globally generated vector bundles rank 2 smooth quadric threefold Chern classes odd instanton algebraic geometry

Cite

@article{arxiv.1211.1100,
  title  = {Globally generated vector bundles of rank 2 on a smooth quadric threefold},
  author = {Edoardo Ballico and Sukmoon Huh and Francesco Malaspina},
  journal= {arXiv preprint arXiv:1211.1100},
  year   = {2013}
}

Comments

18 pages; section7 is added; Comments welcome

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