Uniqueness of crepant resolutions and symplectic singularities

Mathematics – Algebraic Geometry

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Scientific paper

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-dimenensional symplectic singularities is proved.
We also give an example of symplectic singularity which admits two
non-equivalent symplectic resolutions.

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