On the structure of homogeneous symplectic varieties of complete intersection

Abstract

If X is a symplectic variety emedded in an affine space as a complete intersection of homogeneous polynomials, then X coincides with the nilpotent variety of a semisimple Lie algebra.

27 pages (Final version; to appear in Invent Math)

References in corpus (3)

• Poisson deformations of affine symplectic varieties II
• Poisson deformations of affine symplectic varieties
• Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties

Cited by in corpus (4)

• A characterization of nilpotent orbit closures among symplectic singularities
• A finiteness theorem on symplectic singularities
• Jet schemes of the closure of nilpotent orbits
• Four-dimensional conical symplectic hypersurfaces