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Limit trees and generic discriminants of minimal surface singularities
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 17 (2008) no. 1, pp. 37-51.

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.

D’après R. Bondil, le graphe dual de la résolution minimale d’une singularité minimale de surface normale détermine le discriminant générique de cette singularité. Par des arguments combinatoires, nous donnons dans cet article le lien entre les arbres limites et les discriminants génériques des singularités minimales de surfaces normales. Les arbres limites pondérés d’une singularité minimale de surface normale détermine le discriminant générique de cette singularité.

DOI: 10.5802/afst.1174
Eric Akéké 1

1 Centre de Mathématiques et d’Informatique, 39, rue F. Joliot Curie 13453 Marseille cedex 13 (France)
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     title = {Limit trees and generic discriminants of minimal surface singularities},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
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Eric Akéké. Limit trees and generic discriminants of minimal surface singularities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 17 (2008) no. 1, pp. 37-51. doi : 10.5802/afst.1174. https://afst.centre-mersenne.org/articles/10.5802/afst.1174/

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