Petri map for rank two bundles with canonical determinant
classification
🧮 math.AG
keywords
determinantproverankbertram-feinberg-mukaibundlebundlescanonicalconjecture
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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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