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arXiv · 1501.05600

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

Edoardo Ballico·Sukmoon Huh·Francesco Malaspina
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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.

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Edoardo Ballico, Sukmoon Huh, Francesco Malaspina. 2015-01-22. Globally generated vector bundles on the Segre threefold with Picard number two. https://arxiv.org/abs/1501.05600

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