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arxiv: math/0409029 · v1 · submitted 2004-09-02 · 🧮 math.AG

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

classification 🧮 math.AG
keywords degreegeneralbundlebundleshypersurfacehypersurfacesonlyrank
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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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