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Limit trees and generic discriminants of minimal surface singularities

Eric Akéké — 2008

Annales de la faculté des sciences de Toulouse Mathématiques

According to R. Bondil the dual graph of the minimal resolution of a minimal normal surface singularity determines the generic discriminant of that singularity. In this article we give with combinatorial arguments the link between the limit trees and the generic discriminants of minimal normal surface singularities. The weighted limit trees of a minimal surface singularity determine the generic discriminant of that singularity.

Equisingular generic discriminants and Whitney conditions

Eric Dago Akéké — 2008

Annales de la faculté des sciences de Toulouse Mathématiques

The purpose of this article is to show that are satisfied for complex analytic families of normal surface singularities for which the are . According to J. Briançon and J. P. Speder the constancy of the topological type of a family of surface singularities does not imply Whitney conditions in general. We will see here that for a family of these two equisingularity conditions are equivalent.

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