Complete transversals and the classification of singularities

DOI10.1088/0951-7715/10/1/017zbMath0929.58019OpenAlexW1970130627MaRDI QIDQ3841279

N. P. Kirk, J. W. Bruce, Andrew A. Du Plessis

Publication date: 5 November 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/10/1/017

zbMATH Keywords

jetsdiscriminantsclassification of singularitiesunipotent grouplogarithmic vector fieldsright equivalencefinitely determined map-germsstemscomplete transversals

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Vector fields, frame fields in differential topology (57R25) Jets in global analysis (58A20) Complex surface and hypersurface singularities (32S25) Critical points and critical submanifolds in differential topology (57R70) Differentiable mappings in differential topology (57R35) Real-valued functions on manifolds (58C05) Classification; finite determinacy of map germs (58K40)

Related Items (29)

Simple singularities of reducible curves in characteristicp > 0 ⋮ Topological invariants of stable maps of oriented 3-manifolds in \(\mathbb {R}^4\) ⋮ Recognition of unimodal map germs from the plane to the plane by invariants ⋮ Singularities of secant maps of immersed surfaces ⋮ On the flat geometry of the cuspidal edge ⋮ The Wigner caustic on shell and singularities of odd functions ⋮ New techniques for classification of multigerms ⋮ On umbilic points on newly Born surfaces ⋮ Geometric deformations of curves in the Minkowski plane ⋮ Simple singularities of functions that are even or odd in each variable ⋮ Complete transversal and formal normal forms of germs of vector fields ⋮ The analytic classification of plane curves ⋮ On pairs of regular foliations in \({\mathbb{R}^3}\) and singularities of map-germs ⋮ Topological invariants of stable immersions of oriented 3-manifolds in \(\mathbb{R}^4\) ⋮ On the \(\mathcal{A}\)-equivalence of quasi-ordinary parameterizations ⋮ PROJECTIONS OF HYPERSURFACES IN ℝ⁴ WITH BOUNDARY TO PLANES ⋮ Topological triviality of families of functions on analytic varieties ⋮ Singular improper affine spheres from a given Lagrangian submanifold ⋮ Complete transversals of symmetric vector fields ⋮ Unnamed Item ⋮ On the geometry of folded cuspidal edges ⋮ M-deformations of -simple germs from to ⋮ The analytic classification of plane curves with two branches ⋮ Generic geometry of stable maps of 3-manifolds into \(\mathbb{R}^4\) ⋮ Classification of \(\mathbb{Z}_3\)-equivariant simple function germs ⋮ Invariants of topological relative right equivalences ⋮ Vector flows and the analytic moduli of singular plane branches ⋮ Computational Aspects of Classifying Singularities ⋮ The Analytic Classification of Irreducible Plane Curve Singularities

Uses Software

• Maple

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