Specialization to the tangent cone and Whitney Equisingularity - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2011

Specialization to the tangent cone and Whitney Equisingularity

Arturo Giles Flores
  • Fonction : Auteur
  • PersonId : 902430

Résumé

Let (X,0) be a reduced, equidimensional germ of analytic singularity with reduced tangent cone (C_{X,0},0). We prove that the absence of exceptional cones is a necessary and sufficient condition for the smooth part \X^0 of the specialization to the tangent cone \phi: \X \to \C to satisfy Whitney's conditions along the parameter axis Y. This result is a first step in generalizing to higher dimensions Lê and Teissier's result for hypersurfaces of \C^3 which establishes the Whitney equisingularity of X and its tangent cone under this conditions.

Dates et versions

hal-00599061 , version 1 (08-06-2011)

Identifiants

Citer

Arturo Giles Flores. Specialization to the tangent cone and Whitney Equisingularity. 2011. ⟨hal-00599061⟩
108 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More