English

Globally generated vector bundles on a smooth quadric surface

Algebraic Geometry 2014-06-16 v2

Abstract

We give the classification of globally generated vector bundles of rank 22 on a smooth quadric surface with c1(2,2)c_1\le (2,2) in terms of the indices of the bundles, and extend the result to arbitrary higher rank case. We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.

Keywords

Cite

@article{arxiv.1312.2472,
  title  = {Globally generated vector bundles on a smooth quadric surface},
  author = {Edoardo Ballico and Sukmoon Huh and Francesco Malaspina},
  journal= {arXiv preprint arXiv:1312.2472},
  year   = {2014}
}

Comments

23 pages; Comments welcome; Several corrections

R2 v1 2026-06-22T02:23:48.651Z