Symplectic resolutions for conical symplectic varieties

Michel Brion (1) , Baohua Fu (2)

1 IF - Institut Fourier
2 AMSS - Academy of Mathematics and Systems Science

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.

Domaines: Géométrie algébrique [math.AG]

Michel Brion, Baohua Fu. Symplectic resolutions for conical symplectic varieties. International Mathematics Research Notices, 2015, 2015 (12), pp.4335-4343. ⟨10.1093/imrn/rnu067⟩. ⟨hal-01622779⟩