Finitely determined singularities of ruled surfaces in 3

DOI10.1017/S0305004109002618zbMath1183.53006OpenAlexW2075763327MaRDI QIDQ3646112

Rodrigo Martins, Juan Jose Nuño-Ballesteros

Publication date: 19 November 2009

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

Full work available at URL: https://doi.org/10.1017/s0305004109002618

zbMATH Keywords

ruled surfacessimple singularitytopological classification

Mathematics Subject Classification ID

Normal forms on manifolds (58K50) Surfaces in Euclidean and related spaces (53A05) Classification; finite determinacy of map germs (58K40)

Related Items (9)

Legendrian dual surfaces in hyperbolic 3-space ⋮ Double points in families of map germs from ℝ2 to ℝ3 ⋮ On the polar varieties of ruled hypersurfaces ⋮ Polar multiplicities and Euler obstruction for ruled surfaces ⋮ Gauss words and the topology of map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^3\) ⋮ The dual tree of a fold map germ from to ⋮ The link of a frontal surface singularity ⋮ Topology of simple singularities of ruled surfaces in \(\mathbb{R}^p\) ⋮ Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\)

Cites Work

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• The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
• Some remarks on the geometry and classification of germs of maps from surfaces to 3-space
• Finite determinacy and topological triviality. I
• Local topological properties of differentiable mappings. I
• Singularities of ruled surfaces in ℝ³
• Multiple Point Schemes for Corank 1 Maps
• On the Classification of Germs of Maps from R² to R³
• Finite Determinacy of Smooth Map-Germs
• Topological Classification of the Tangent Developables of Space Curves

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