Some aspects of the geometry of real algebraic surfaces

DOI10.1016/S0007-4497(03)00007-1zbMath1036.14028MaRDI QIDQ1395896

Adriana Ortiz-Rodríguez

Publication date: 1 July 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

real surfaceHarnack bound

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Topology of real algebraic varieties (14P25) Projective differential geometry (53A20)

Related Items

Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking ⋮ On the affine geometry of the graph of a real polynomial ⋮ On the geometric structure of certain real algebraic surfaces ⋮ On the number of connected components of the parabolic curve ⋮ Hypersurfaces with many \(A_j\)-singularities: explicit constructions ⋮ On the realization problem of real algebraic plane curves as Hessian curves

Cites Work

• Cusps of the projective Gauss map
• Calculation of singularities of an imbedding of a generic algebraic surface in projective space \(P^ 3\)
• Projections of smooth surfaces
• Tangential singularities
• Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius-Sturm theory
• On the special parabolic points and the topology of the parabolic curve of certain smooth surfaces in \(\mathbb{R}^3\)
• Singularities of the mutual disposition of a surface and a line
• Wave front evolution and equivariant Morse lemma
• Special points of surfaces in the three-dimensional projective space
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