Dynkin Graphs, Gabriélov Graphs and Triangle Singularities
Abstract
Description
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.
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
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