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.
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.
@article{AFST_2008_6_17_1_37_0,
author = {Ak\'ek\'e, Eric},
title = {Limit trees and generic discriminants of minimal surface singularities},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {37--51},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 17},
number = {1},
year = {2008},
doi = {10.5802/afst.1174},
zbl = {1159.32017},
mrnumber = {2464092},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1174/}
}
TY - JOUR AU - Akéké, Eric TI - Limit trees and generic discriminants of minimal surface singularities JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2008 SP - 37 EP - 51 VL - 17 IS - 1 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1174/ DO - 10.5802/afst.1174 LA - en ID - AFST_2008_6_17_1_37_0 ER -
%0 Journal Article %A Akéké, Eric %T Limit trees and generic discriminants of minimal surface singularities %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2008 %P 37-51 %V 17 %N 1 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1174/ %R 10.5802/afst.1174 %G en %F AFST_2008_6_17_1_37_0
Akéké, Eric. Limit trees and generic discriminants of minimal surface singularities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 17 (2008) no. 1, pp. 37-51. doi : 10.5802/afst.1174. http://www.numdam.org/articles/10.5802/afst.1174/
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