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Uniqueness of crepant resolutions and symplectic singularities

Baohua FuYoshinori Namikawa — 2004

Annales de l’institut Fourier

We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.

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