  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.
