  We classify deformation quantizations of the symplectic supervarieties that
are smooth and admissible. This generalizes the corresponding result of
Bezrukavnikov and Kaledin to the super case. We relate the equivalence classes
of quantizations of supervarieties with that of their even reduced symplectic
varieties. Finally, we prove that certain nilpotent orbits of basic Lie
superalgebras are admissible and splitting, and classify their deformation
quantizations.
