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

Edoardo Ballico; Sukmoon Huh; Francesco Malaspina

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

Algebraic Geometry 2013-01-10 v1

Authors: Edoardo Ballico , Sukmoon Huh , Francesco Malaspina

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.

Cite

@article{arxiv.1301.1822,
  title  = {Reflexive and spanned sheaves on $\mathbb{P}^3$},
  author = {Edoardo Ballico and Sukmoon Huh and Francesco Malaspina},
  journal= {arXiv preprint arXiv:1301.1822},
  year   = {2013}
}

Comments

20 pages; Comments welcome

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