Petri map for rank two bundles with canonical determinant

Mathematics – Algebraic Geometry

Scientific paper

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To appear in Compositio Mathematica

Scientific paper

We prove the Bertram-Feinberg-Mukai conjecture for a generic curve $C$ of
genus $g$ and a semistable vector bundle $E$ of rank two and determinant $K$ on
$C$, namely we prove the injectivity of the Petri-canonical map $S^2(H^0(E))\to
H^0(S^2(E))$.

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