  We study the geometry of super curves with a chosen supervolume form. We
consider the algebra of divergence free vector fields $S(1|N)$ associated to
such curves. When $N=2$ its derived algebra, called $S(2)$, defines a special
family of curves, named $S(2)$-super curves. We exhibit an involution on the
moduli space of such curves that generalizes Deligne's involution for $N=1$
super curves. The fixed point set of this involution consists on Manin's
$SUSY_2$-super curves. We describe the moduli spaces of these curves.
