David Trotman – Weak Whitney regularity and equimultiplicity of complex hypersurfaces

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Date(s) - 21 avril 2016

Catégories Pas de Catégories

The weak Whitney regularity for stratifications, introduced by Karim Bekka and thespeaker, implies local topological triviality and is implied by Whitney regularity. While strictly weaker than Whitney regularity in the real algebraic case, its status vis à vis Whitney regularity is unknown in the complex analytic case. We describe work with Duco van Straten showing that weak Whitney regularity implies equimultiplicity for complex hypersurface families, generalising theorems of Hironaka, and Briançon and Speder.[