A formula for the Euler characteristic of a real algebraic manifold

DOI10.1007/BF02568203zbMath0824.14046OpenAlexW2052585175MaRDI QIDQ1344917

Zbigniew Szafraniec

Publication date: 13 November 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156027

zbMATH Keywords

Euler-Poincaré characteristicreal algebraic setsreal polynomial mapping

Mathematics Subject Classification ID

Topology of real algebraic varieties (14P25) Topological properties in algebraic geometry (14F45)

Related Items (14)

Euler obstruction and Lipschitz-Killing curvatures ⋮ On \(p\)-parameter bifurcation of an \(n\)-dimensional function-germ ⋮ Euler characteristics of homogeneous and weighted-homogeneous hypersurfaces ⋮ Euler obstruction, Brasselet number and critical points ⋮ Lipschitz-Killing curvatures and polar images ⋮ Degree formulas and signature formulas for the Euler characteristic of real algebraic sets ⋮ On the topology of non-isolated real singularities ⋮ Morin singularities of collections of one-forms and vector fields ⋮ Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets ⋮ Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets ⋮ Degree formulas for a topological invariant of bifurcations of function-germs ⋮ Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities ⋮ On affine complete intersections with isolated singularities. ⋮ An algebraic formula for the Euler characteristic of some semi-algebraic sets

Cites Work

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• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Topological invariance of the Milnor number mod 2
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• On topological invariance of the Milnor number mod 2
• On the Euler characteristic of complex algebraic varieties
• Euler Characteristics of Real Varieties
• The Euler characteristic of algebraic complete intersections.
• Topological invariants of weighted homogeneous polynomials
• On the Euler characteristic mod 2 of real projective varieties
• Singular Points of Complex Hypersurfaces. (AM-61)

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