Abstract
Let SU(r,d) be the moduli space of rank r, degree d vector bundles over a smooth projective curve of genus
g≥2
. If (r,d)=1 and d divides r+1, then SU is rational. Furthermore, if
0<δ<r
and all prime divisors of
δ
divide r, and if d divides
r−δ
, then SU is rational. The proof is a variation on a result of Newstead and modifications due to Ballico and then Boden and Yokogawa.