Symplectic Resolutions for Nilpotent Orbits

Abstract

We prove that any symplectic resolution of the closure of a nilpotent orbit in a semi-simple complex Lie algebra is isomorphic to the collapsing of the cotangent bundle of a projective homogenous variety. Then we give a complete characterization of those nilpotent orbits whose closure admit a symplectic resolution.

This is to fix a gap and correct some errors in the previous version. We have also improved the presentation

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