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Raynaud vector bundles

Georg Hein

 

Number 11
Author Georg Hein
Year 2007

We construct vector bundles Rμrk on a smooth projective curve X having the property that for all sheaves E of slope μ and rank rk on X we have an equivalence:
E is a semistable vector bundle <=> Hom(Rμrk,E) = 0.
As a byproduct of our construction we obtain effective bounds on r such that the linear system |R · Θ| has base points on UX(r, r(g − 1)).

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