A note on symplectic singularities
read the original 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 $\geq 4$. It is hoped that a symplectic singularity has much stronger properties.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
The affine closure of the cotangent bundle of the minimal nilpotent orbit O_n in sl_n is isomorphic to a C*-Hamiltonian reduction of the minimal nilpotent orbit closure in so_{2n+2}.
-
A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
-
Terminalizations of quotients of compact hyperk\"ahler manifolds by induced symplectic automorphisms
Classification of terminalizations of symplectic quotients of K3^{[n]} and generalized Kummer varieties yields at least nine new deformation types of irreducible symplectic varieties of dimension four.
-
Thirty-three deformation classes of compact hyperk\"ahler orbifolds
The paper enumerates 33 deformation classes of compact hyperkähler orbifolds obtained as terminalizations of quotients of K3 surface products.
-
The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities
Extends the LLV algebra to primitive symplectic varieties with isolated singularities via an isomorphism g ≅ so((IH²(X,Q), Q_X) ⊕ h) and studies the resulting representation theory with applications to the P=W conjecture.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.