Topological invariants of weighted homogeneous polynomials

DOI10.1017/S0017089500008302zbMath0746.14026OpenAlexW2033407877MaRDI QIDQ3979492

Zbigniew Szafraniec

Publication date: 26 June 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500008302

zbMATH Keywords

Euler characteristicreal set

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Topology of real algebraic varieties (14P25) Topology of special sets defined by functions (54C50) Topological properties in algebraic geometry (14F45)

Related Items (8)

A formula for the Euler characteristic of a real algebraic manifold ⋮ TOPOLOGY OF 1-PARAMETER DEFORMATIONS OF NON-ISOLATED REAL SINGULARITIES ⋮ Semi-algebraic functions with non-compact critical set ⋮ Topology of functions with non-isolated stratified critical points ⋮ Degree formulas and signature formulas for the Euler characteristic of real algebraic sets ⋮ On the topology of non-isolated real singularities ⋮ On trajectories of analytic gradient vector fields ⋮ On the stable set of an analytic gradient flow

Cites Work

• Topological invariance of the Milnor number mod 2
• On the Euler characteristic of analytic and algebraic sets
• 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
• On the Euler characteristic of complex algebraic varieties
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• On the Euler characteristic mod 2 of real projective varieties
• Singular Points of Complex Hypersurfaces. (AM-61)

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