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

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.

20 pages; Comments welcome

References in corpus (1)

• Globally Generated Vector Bundles on P^n with c_1=3