The Theta Divisor of SU_C(2,2d)^s is very Ample if C is not Hyperelliptic
classification
alg-geom
math.AG
keywords
thetadivisorhyperellipticinjectivesmoothampleassociatedbundles
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Let $X$ be the moduli space of semistable rank 2 vector bundles over a smooth curve C of genus $g \ge 2$ and $\theta : X \to PH^0(L)^*$ be the map associated to the generalized theta divisor L on X. We prove that for C not hyperelliptic, the map $\theta$ is injective and the differential of $\theta$ is injective at smooth points of X.
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