Symplectic Resolutions for Nilpotent Orbits

Details Symplectic Resolutions for Nilpotent Orbits Symplectic Resolutions for Nilpotent Orbits

2002-05-06

arxiv.org/abs/math/0205048v2

Invent. Math. 151 (2003), 167-186

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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