  By analytic deformations of complex structures, we mean perturbations of the
Dolbeault operator. By algebraic deformations of complex structures, we mean
deformations of holomorphic glueing data. For complex manifolds there is,
infinitesimally, a correspondence between these two types deformations. In this
article we argue that an analogous correspondence holds between the analytic
and algebraic deformations of a super Riemann surface.
