A finiteness theorem on symplectic singularities

Abstract

For positive integers N and d, there are only finite number of conical symplectic varieties of dimension 2d with maximal weights N, up to isomorphism. The maximal weight of a conical symplectic variety X is, by definition, the maximal weight of the minimal homogeneous generators of the coordinate ring R of X.

Final version, to appear in Compositio Math

References in corpus (2)

• Quantizations of conical symplectic resolutions I: local and global structure
• Fundamental groups of symplectic singularities

Cited by in corpus (5)

• A characterization of nilpotent orbit closures among symplectic singularities
• A characterization of nilpotent orbit closures among symplectic singularities II
• The universal Poisson deformation of hypertoric varieties and some classification results
• Four-dimensional conical symplectic hypersurfaces
• Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic $p$