Dynkin Graphs, Gabri\'{e}lov Graphs and Triangle Singularities
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@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}
}
Comments
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