A note on symplectic singularities

Abstract

In this paper we shall prove that the singular locus of a symplectic singularity has no codimension 3 irreducible components. As a corollary, a symplectic singularity is terminal if and only if its singular locus has codimension $\ge 4$. It is hoped that a symplectic singularity has much stronger properties.

Cited by in corpus (19)

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• Extension of 2-forms and symplectic varieties
• Note on some properties of generalized affine Grassmannian slices
• Symplectic resolutions for Higgs moduli spaces
• The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces
• Affine Springer Fibers, Procesi bundles, and Cherednik algebras
• The dual Lagrangian fibration of known hyper-Kähler manifolds
• On the Kähler cone of irreducible symplectic orbifolds
• On moduli spaces of sheaves on K3 or abelian surfaces
• Crepant resolutions of stratified varieties via gluing
• Equivariant deformation quantization and coadjoint orbit method
• The universal covers of hypertoric varieties and Bogomolov's decomposition
• A survey on symplectic singularities and resolutions
• On minimal models of projective Hyperkaehler manifolds