  In this paper we study division algebras over the function fields of curves
over $\Q_p$. The first and main tool is to view these fields as function fields
over nonsingular $S$ which are projective of relative dimension 1 over the $p$
adic ring $\Z_p$. A previous paper showed such division algebras had index
bounded by $n^2$ assuming the exponent was $n$ and $n$ was prime to $p$. In
this paper we consider algebras of degree (and hence exponent) $q \not= p$ and
show these algebras are cyclic. We also find a geometric criterion for a Brauer
class to have index $q$.
