Dynkin Graphs, Gabriélov Graphs and Triangle Singularities

Details Dynkin Graphs, Gabriélov Graphs and Triangle Singularities Dynkin Graphs, Gabriélov Graphs and Triangle Singularities

1996-11-10

arxiv.org/abs/alg-geom/9611011v2

Mathematics

Algebraic Geometry

10 pages with six postscript figures. AMSLaTeX v 1.2.figures. Adobe PDF version is available also at my private homepage, ht

Scientific paper

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.

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