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arXiv · 1301.1822

Reflexive and spanned sheaves on $\mathbb{P}^3$

Edoardo Ballico·Sukmoon Huh·Francesco Malaspina
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Abstract

We investigate the reflexive sheaves on $\PP^3$ spanned in codimension 2 with very low first Chern class $c_1$. We also give the sufficient and necessary conditions on numeric data of such sheaves for indecomposabiity. As a by-product we obtain that every reflexive sheaf on $\PP^3$ spanned in codimension 2 with $c_1=2$ is spanned.

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Edoardo Ballico, Sukmoon Huh, Francesco Malaspina. 2013-01-09. Reflexive and spanned sheaves on $\mathbb{P}^3$. https://arxiv.org/abs/1301.1822

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