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arxiv: 1301.1822 · v1 · pith:TQ7HSWAUnew · submitted 2013-01-09 · 🧮 math.AG

Reflexive and spanned sheaves on mathbb{P}³

classification 🧮 math.AG
keywords spannedreflexivesheavescodimensionby-productchernclassconditions
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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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