Differential invariance of multiplicity on analytic varieties

DOI10.1007/BF01394022zbMath0498.32003MaRDI QIDQ1171188

Y.-N. Gau, Joseph Lipman

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143042

zbMATH Keywords

differential invariance of multiplicityhomeomorphism of analytic varieties

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Differentiable mappings in differential topology (57R35) Local complex singularities (32S05) Complex singularities (32Sxx)

Related Items

Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ On Zariski’s multiplicity problem at infinity ⋮ Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms ⋮ Differential invariance of the multiplicity of real and complex analytic sets ⋮ On the value set of 1-forms for plane branches ⋮ (SSP) geometry with directional homeomorphisms ⋮ A proof of the differentiable invariance of the multiplicity using spherical blowing-up ⋮ Tangent Cones of Lipschitz Normally Embedded Sets Are Lipschitz Normally Embedded. Appendix by Anne Pichon and Walter D. Neumann

Cites Work

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• Calcul du nombre de cycles evanouissants d'une hypersurface complexe
• \(C^n\) preservation of multiplicity
• \(C^ 1\) functions on a complex analytic variety
• Normal cones in analytic Whitney stratifications
• Homology theory for locally compact spaces
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• La classe d'homologie fondamentale d'un espace analytique
• The Cartesian Product Structure and C ∞ Equivalences of Singularities