Symplectic Resolutions for Conical Symplectic Varieties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 May 2014Embargo end date: 01 Oct 2013 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

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Authors: Brion, Michel; Fu, Baohua;

doi: 10.1093/imrn/rnu067 , 10.48550/arxiv.1310.8193

arXiv: 1310.8193

Symplectic Resolutions for Conical Symplectic Varieties

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Abstract

We introduce the notion of a conical symplectic variety, and show that any symplectic resolution of such a variety is isomorphic to the Springer resolution of a nilpotent orbit in a semisimple Lie algebra, composed with a linear projection.

Final version to appear in IMRN

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Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, 14L30, 14E15, 17B08, Algebraic Geometry (math.AG)

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