English

Dynkin Graphs and Triangle Singularities

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

We treat nine of fourteen triangle singularities in Arnold's classification list of singularities. We consider what kind of combinations of rational double points can appear on their small deformation fibers. We show their combinations are described by a simple priciple using Dynkin graphs.

Keywords

Cite

@article{arxiv.alg-geom/9409002,
  title  = {Dynkin Graphs and Triangle Singularities},
  author = {Tohsuke Urabe},
  journal= {arXiv preprint arXiv:alg-geom/9409002},
  year   = {2008}
}

Comments

7 pages, AMS-TeX