The Theta Divisor of $S{U}_C(2,2d{)}^s$ is very Ample if $C$ is not Hyperelliptic

Abstract

Let $X$ be the moduli space of semistable rank 2 vector bundles over a smooth curve C of genus $g\ge 2$ and $\theta :X\to P{H}^0(L{)}^{\ast }$ 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.

arXiv comment40 pages, AmSTeS 2.1