A note on symplectic singularities

2001/01/04 by Yoshinori Namikawa, Namikawa, Yoshinori · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0101028

arxiv created 2001/01/04 · arxiv updated 2009/11/30

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 ≥ 4. It is hoped that a symplectic singularity has much stronger properties.

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• Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture

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