Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces

DOI10.5802/afst.1490zbMath1354.32019OpenAlexW2334453184MaRDI QIDQ268514

Duco van Straten, David J. A. Trotman

Publication date: 15 April 2016

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1490

zbMATH Keywords

complex analytic hypersurfacesequimultiplicityweak Whitney regularity

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05)

Related Items (2)

Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ Stratification Theory

Cites Work

• Some results about integration on regular stratified sets
• Volume on stratified sets
• Whitney regularity and generic wings
• Conditions de Whitney et sections planes
• Les conditions de Whitney impliquent `\(\mu(*)\) constant'
• A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
• On metric properties of stratified sets
• Tangents to an analytic variety
• Normal cones in analytic Whitney stratifications
• Triangulation of Stratified Objects
• Notes on Topological Stability
• Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
• Briançon-Speder examples and the failure of weak Whitney regularity
• Ensembles et morphismes stratifiés
• Analytic and geometric study of stratified spaces
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