Symplectic S{\mu} singularities

TL;DR

This paper classifies and describes symplectic singularities of a specific type using algebraic and geometric methods, providing a detailed understanding of their invariants and structure.

Contribution

It introduces a classification of symplectic Sμ singularities via algebraic restrictions and discrete invariants, offering new insights into their geometric properties.

Findings

Classification of symplectic Sμ singularities achieved

Discrete symplectic invariants identified

Geometric descriptions of singularities provided

Abstract

We study the local symplectic algebra of the 1-dimensional isolated complete intersection singularity of type S{\mu}. We use the method of algebraic restrictions to classify symplectic S{\mu} singularities. We distinguish these symplectic singularities by discrete symplectic invariants. We also give the geometric description of them.