ACM bundles on general hypersurfaces in ${\bf P}^5$ of low degree

Details ACM bundles on general hypersurfaces in ${\bf P}^5$ of low degree ACM bundles on general hypersurfaces in ${\bf P}^5$ of low degree

2004-09-02

arxiv.org/abs/math/0409029v1

Collect. Math. Vol. 56 no.1(2005), 85-96

Mathematics

Algebraic Geometry

11 pages, to appear on Collect. Math

Scientific paper

In this paper we show that on a general hypersurface of degree $r=3,4,5,6$ in
${\bf P}^5$ a rank 2 vector bundle $E$ splits if and only if $h^1 E(n)=h^2
E(n)=0$ for all $n \in \bf Z$.

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