A note on symplectic singularities

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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.

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