On the affine geometry of the graph of a real polynomial

DOI10.1007/s10883-012-9154-3zbMath1257.53006OpenAlexW2014080866MaRDI QIDQ1928827

L. I. Hernández-Martínez, Federico Sánchez-Bringas, Adriana Ortiz-Rodríguez

Publication date: 4 January 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-012-9154-3

zbMATH Keywords

parabolic curveGaussian cuspstangential singularities

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Affine differential geometry (53A15)

Related Items (3)

Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking ⋮ On the geometric structure of certain real algebraic surfaces ⋮ On the realization problem of real algebraic plane curves as Hessian curves

Cites Work

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• Real Hessian curves
• Tangential singularities
• Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius-Sturm theory
• On the problem of realization of a given Gaussian curvature function
• Some aspects of the geometry of real algebraic surfaces
• Singularities of the mutual disposition of a surface and a line
• Special points of surfaces in the three-dimensional projective space

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