A splitting criterion for rank 2 vector bundles on a general sextic threefold

Details A splitting criterion for rank 2 vector bundles on a general sextic threefold A splitting criterion for rank 2 vector bundles on a general sextic threefold

2004-07-06

arxiv.org/abs/math/0407080v1

Internat. J.Math. vol.15 (2004) no.4, 341-359

Mathematics

Algebraic Geometry

Scientific paper

In this paper we show that on a general sextic hypersurface $X\subset \bf
P^4$, a rank 2 vector bundle $E$ splits if and only if $h^1(E(n))=0$ for any $n
\in \bf Z$. We get thus a characterization of complete intersection curves in
$X$

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