Symplectic W₈, W₉ singularities

2012/02/06 by Żaneta Trȩbska, Zaneta Trebska, Trebska, Zaneta · 1 citation
Mathematics · Physics and Astronomy · #53D05 (Primary) 14H20 #58A10 (Secondary) #58K50 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG) #math.AG #math.DG #math.SG #msc:14H20 #msc:53D05 #msc:58A10 #msc:58K50

paper · pdf · doi:10.48550/arxiv.1202.1124

22 pages. arXiv admin note: substantial text overlap with arXiv:1001.3351 and arXiv:1101.5176

arxiv created 2012/02/06 · openalex publication_date 2012/02/06 · arxiv updated 2012/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic W₈ and W₉ singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.

Cited by

• Symplectic U₇, U₈ and U₉ singularities

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