The principle describing possible combinations of singularities in deformations of a fixed singularity

Details The principle describing possible combinations of singularities in deformations of a fixed singularity The principle describing possible combinations of singularities in deformations of a fixed singularity

1994-10-13

arxiv.org/abs/alg-geom/9410012v1

Mathematics

Algebraic Geometry

7 pages, AMS-TeX

Scientific paper

This is the abstract prepared for Workshop on Topology and Geometry (Zhang jiang, China, October 1994), and is a review of my recent works. What kinds of combinations of singularities can appear in small deformation fibers of a fixed singularity? We consider this problem for hypersurface singularities on complex analytic spaces of dimension 2. For all singularities in the beginning par t of Arnold's classification list, the answer to this problem is given by a unique principle described by Dynkin graphs. This article contains several figures. I will send the hard copy containin g figures by mail with envelope and stamps under request.

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