Dynkin Graphs, Gabri\'{e}lov Graphs and Triangle Singularities
alg-geom
2008-02-03 v2 代数几何
摘要
Fourteen kinds of triangle singularities with modality one in Arnold's classification list are discussed. We consider which kinds of combinations of rational double points can appear on small deformation fibers of the singularities. We show that possible combinations of rational double points can be described by a unique principle from the view point of Dynkin graphs.
引用
@article{arxiv.alg-geom/9611011,
title = {Dynkin Graphs, Gabri\'{e}lov Graphs and Triangle Singularities},
author = {Tohsuke Urabe},
journal= {arXiv preprint arXiv:alg-geom/9611011},
year = {2008}
}
备注
10 pages with six postscript figures. AMSLaTeX v 1.2.figures. Adobe PDF version is available also at my private homepage, http://urabe-lab.math.metro-u.ac.jp/PreprintListE.html