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

L. Chiantini·C. Madonna
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Abstract

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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L. Chiantini, C. Madonna. 2004-09-02. ACM bundles on general hypersurfaces in ${\bf P}^5$ of low degree. https://arxiv.org/abs/math/0409029

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