Birational geometry in codimension 2 of symplectic resolutions

Details Birational geometry in codimension 2 of symplectic resolutions Birational geometry in codimension 2 of symplectic resolutions

2004-09-14

arxiv.org/abs/math/0409224v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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