Symplectic $W_8, W_9$ singularities
Zaneta Trebska
TL;DR
This paper classifies and describes symplectic $W_8$ and $W_9$ singularities of curves using algebraic restrictions and invariants, providing a detailed geometric understanding.
Contribution
It introduces a classification of symplectic $W_8$ and $W_9$ singularities with geometric descriptions, advancing the understanding of symplectic curve singularities.
Findings
Classification of symplectic $W_8$ and $W_9$ singularities
Use of algebraic restrictions and invariants for distinction
Geometric descriptions of symplectic classes
Abstract
We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic and singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Nonlinear Waves and Solitons · Geometric and Algebraic Topology