  This paper shows that on the moduli space of semi-stable vector bundles of
fixed rank and determinant (of any degree) on a smooth curve of genus at least
two, the base locus of the generalized theta divisor is large provided the rank
is sufficiently large. It also shows that the base locus is large for positive
multiples of the theta divisor. This work extends results already known for the
case where the determinant is of degree zero.
