Sunday, 25 August 2013

Vector bundles on a smooth curve

Vector bundles on a smooth curve

Let $V$ be a vector bundle over smooth projective curve, then there is a
natural evaluation map $$ f: \operatorname{Hom}(\mathcal{O}, V) \otimes
\mathcal{O} \to V, $$ what is kernel and cokernel of this map?

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