  We shall prove that the Poisson deformation functor of an affine (singular)
symplectic variety is unobstructed. As a corollary, we prove the following
result.
  Theorem: For an affine symplectic variety $X$ with a good $C^*$-action (where
its natural Poisson structure is positively weighted), the following are
equivalent
  (1) $X$ has a crepant projective resolution. (2) $X$ has a smoothing by a
Poisson deformation.
