An algebraic formula for the Euler characteristic of some semi-algebraic sets

DOI10.1016/S0022-4049(99)00004-3zbMath0968.14031MaRDI QIDQ1295780

Nicolas Dutertre

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Euler characteristicsemi-algebraic setcomplete intersection

Mathematics Subject Classification ID

Complete intersections (14M10) Semialgebraic sets and related spaces (14P10) Topological properties in algebraic geometry (14F45)

Related Items (1)

On affine complete intersections with isolated singularities.

Cites Work

• Topological invariance of the Milnor number mod 2
• On the number of branches of an 1-dimensional semianalytic set
• Milnor numbers and the topology of polynomial hypersurfaces
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Mapping degree formula for 2-parameter bifurcation of function-germs
• A formula for the Euler characteristic of a real algebraic manifold
• Morse Theory. (AM-51)
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