Raynaud vector bundles

نویسنده

  • Georg Hein
چکیده

We construct vector bundles Rrk μ 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(Rrk μ , 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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تاریخ انتشار 2008