This article is a continuation of previous work, which has the same title. Let Y be an affine symplectic variety with a C~*-action with positive weights, and let π : X → Y be its crepant resolution. Then π induces a natural map PDef (X) → PDef (Y) of Kuranishi spaces for the Poisson deformations of X and Y. In Part I, we proved that PDef (X) and PDef (Y) are both nonsingular, and this map is a finite surjective map. In this article (Part II), we prove that it is a Galois covering. Markman already obtained a similar result in the compact case, which was a motivation for this article. As an application, we construct explicitly the universal Poisson deformation of the normalization O of a nilpo-tent orbit closure O in a complex simple Lie algebra when O has a crepant resolution.
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