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arXiv · alg-geom/9410021

The Theta Divisor of $SU_C(2,2d)^s$ is very Ample if $C$ is not Hyperelliptic

S. Brivio·A. Verra
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Abstract

Let $X$ be the moduli space of semistable rank 2 vector bundles over a smooth curve C of genus $g \ge 2$ and $θ: X \to PH^0(L)^*$ be the map associated to the generalized theta divisor L on X. We prove that for C not hyperelliptic, the map $θ$ is injective and the differential of $θ$ is injective at smooth points of X.

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S. Brivio, A. Verra. 1994-10-21. The Theta Divisor of $SU_C(2,2d)^s$ is very Ample if $C$ is not Hyperelliptic. https://arxiv.org/abs/alg-geom/9410021

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