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Birational geometry in codimension 2 of symplectic resolutions

Baohua Fu
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Abstract

We prove the conjecture that two projective symplectic resolutions for a symplectic variety $W$ are related by Mukai's elementary transformations over $W$ in codimension 2 in the following cases: (i). nilpotent orbit closures in a classical simple complex Lie algebra; (ii). some quotient symplectic varieties.

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Baohua Fu. 2004-09-14. Birational geometry in codimension 2 of symplectic resolutions. https://arxiv.org/abs/math/0409224

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