On higher rank globally generated vector bundles over a smooth quadric threefold
Algebraic Geometry
2012-12-14 v2
Abstract
We give a complete classification of globally generated vector bundles of rank 3 on a smooth quadric threefold with and extend the result to arbitrary higher rank case. We also investigate the existence of globally generated indecomposable vector bundles, and give the sufficient and necessary conditions on numeric data of vector bundles for indecomposability.
Keywords
Cite
@article{arxiv.1211.2593,
title = {On higher rank globally generated vector bundles over a smooth quadric threefold},
author = {Edoardo Ballico and Sukmoon Huh and Francesco Malaspina},
journal= {arXiv preprint arXiv:1211.2593},
year = {2012}
}
Comments
26 pages; Comments welcome; Typos corrected