Smoothing of real algebraic hypersurfaces by rigid isotopies

DOI10.5802/aif.1246zbMath0746.14022OpenAlexW2045077618MaRDI QIDQ1175677

Alexander Nabutovsky

Publication date: 25 June 1992

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_1_11_0

zbMATH Keywords

triangulationrigid isotopyreal algebraic manifoldscrumpleness

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Real algebraic sets (14P05) Triangulating manifolds (57Q15) Homotopy theory and fundamental groups in algebraic geometry (14F35) Isotopy in differential topology (57R52)

Related Items

Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres

Cites Work

• Effectiveness - non effectiveness in semialgebraic and PL geometry
• Estimates of real roots of a system of algebraic equations
• Solving systems of polynomial inequalities in subexponential time
• The central function of the boundary of a domain and its differentiable properties
• On topological properties of the central set of a bounded domain in \(R^ m\).
• Résolution des systèmes d'équations algébriques
• Manifolds, tensor analysis, and applications.
• Discriminants of polynomials in several variables
• Nonrecursive functions in real algebraic geometry
• The Intrinsic Spread of a Configuration in R d
• Progress in the topology of real algebraic varieties over the last six years
• COMPLEX TOPOLOGICAL CHARACTERISTICS OF REAL ALGEBRAIC CURVES
• Number of Solutions with a Norm Bounded by a Given Constant of a Semilinear Elliptic PDE with a Generic Right-Hand Side
• THE SKELETON OF A RIEMANNIAN MANIFOLD WITH BOUNDARY
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item