Symplectic U₇, U₈ and U₉ singularities

2013/01/14 by Żaneta Trȩbska, Zaneta Trebska, Trebska, Zaneta
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.1301.3060

arXiv admin note: substantial text overlap with arXiv:1202.1124, arXiv:1001.3351, arXiv:1101.5176, arXiv:0805.4569

arxiv created 2013/01/14 · openalex publication_date 2013/01/14 · arxiv updated 2013/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the method of algebraic restrictions to classify symplectic U₇, U₈ and U₉ singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.

Citations

• Symplectic W₈, W₉ singularities
• Symplectic T₇, T₈ singularities and Lagrangian tangency orders
• Symplectic Sμ singularities
• Local symplectic algebra of quasi-homogeneous curves

Related

• Symplectic W₈, W₉ singularities
• Symplectic singularity of curves with semigroups (4,5,6,7), (4,5,6) and (4,5,7)
• Algebraic and symplectic curves of degree 8
• A survey on symplectic singularities and resolutions
• A note on symplectic singularities