Symplectic T7, T8 singularities and Lagrangian tangency orders

DOI10.1017/S0013091510001124zbMath1255.53060arXiv1001.3351OpenAlexW3102077693MaRDI QIDQ3167442

Żaneta Trębska, Wojciech Domitrz

Publication date: 2 November 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3351

zbMATH Keywords

singularitiescurvessymplectic manifoldrelative Darboux theoremalgebraic restrictionslocal symplectic algebra

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Differential forms in global analysis (58A10) Normal forms on manifolds (58K50) Singularities of curves, local rings (14H20)

Related Items (4)

Symplectic singularity of curves with semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7) ⋮ Order of Tangency Between Manifolds ⋮ Classification of transversal Lagrangian stars ⋮ Symplectic \(U_7\), \(U_8\) and \(U_9\) singularities

Cites Work

• Volume preserving subgroups of \({\mathcal A}\) and \({\mathcal K}\) and singularities in unimodular geometry
• Relative Darboux Theorem for Singular Manifolds and Local Contact Algebra
• Symplectic singularities of varieties: The method of algebraic restrictions
• Local symplectic algebra of quasi-homogeneous curves
• Symplectic Bifurcations of Plane Curves and Isotropic Liftings
• Classification of simple multigerms of curves in a space with symplectic structure

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