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arXiv · 0706.3970

Raynaud vector bundles

Georg Hein
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Abstract

We construct vector bundles $R^r_μ$ on a smooth projective curve $X$ having the property that for all sheaves $E$ of slope $μ$ and rank $r$ on $X$ we have an equivalence: $E$ is a semistable vector bundle $\iff$ $Hom(R^r_μ,E)=0$. As a byproduct of our construction we obtain effective bounds on $r$ such that the linear system $|R \cdot Θ|$ has base points on the moduli space $U_X(r,r(g-1))$.

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Georg Hein. 2007-06-27. Raynaud vector bundles. https://arxiv.org/abs/0706.3970

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