Zero-dimensional symplectic isolated complete intersection singularities

TL;DR

This paper classifies 0-dimensional isolated complete intersection singularities in symplectic geometry using algebraic restrictions, revealing new symplectic invariants that distinguish these singularities.

Contribution

It introduces a classification method for symplectic singularities based on algebraic restrictions, identifying non-trivial symplectic invariants.

Findings

Identification of non-trivial symplectic invariants

Classification of 0-dimensional isolated complete intersection singularities

Application of algebraic restrictions method

Abstract

We study the local symplectic algebra of the 0-dimensional isolated complete intersection singularities. We use the method of algebraic restrictions to classify these symplectic singularities. We show that there are non-trivial symplectic invariants in this classification.