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arXiv · 1502.06181

Globally generated vector bundles on $\mathbf{P}^1 \times \mathbf{P}^1 \times \mathbf{P}^1$ with low first Chern classes

Edoardo Ballico·Sukmoon Huh·Francesco Malaspina
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Abstract

We classify globally generated vector bundles on $\mathbf{P}^1 \times \mathbf{P}^1 \times \mathbf{P}^1$ with small first Chern class, i.e. $c_1= (a_1, a_2, a_3)$, $a_i \le 2$. Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne-Serre correspondence.

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Edoardo Ballico, Sukmoon Huh, Francesco Malaspina. 2015-02-22. Globally generated vector bundles on $\mathbf{P}^1 \times \mathbf{P}^1 \times \mathbf{P}^1$ with low first Chern classes. https://arxiv.org/abs/1502.06181

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