Globally generated vector bundles on the Segre threefold with Picard number two

Edoardo Ballico; Sukmoon Huh; Francesco Malaspina

Globally generated vector bundles on the Segre threefold with Picard number two

Algebraic Geometry 2015-01-23 v1

Authors: Edoardo Ballico , Sukmoon Huh , Francesco Malaspina

Abstract

We classify globally generated vector bundles on $\mathbb{P}^1 \times \mathbb{P}^2$ with small first Chern class, i.e. $c_1= (a,b)$ , $a+b \leq 3$ . Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne-Serre construction.

Keywords

vector bundles moduli spaces of vector bundles bundle theory

Cite

@article{arxiv.1501.05600,
  title  = {Globally generated vector bundles on the Segre threefold with Picard number two},
  author = {Edoardo Ballico and Sukmoon Huh and Francesco Malaspina},
  journal= {arXiv preprint arXiv:1501.05600},
  year   = {2015}
}

Comments

21 pages; Comments welcome

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