Enriques diagrams and adjacency of planar curve singularities

Details Enriques diagrams and adjacency of planar curve singularities Enriques diagrams and adjacency of planar curve singularities

2001-08-31

arxiv.org/abs/math/0108223v1

Mathematics

Algebraic Geometry

14 pages, 5 figures

Scientific paper

We study adjacency of equisingularity types of planar curve singularities in terms of their Enriques diagrams. For linear adjacency a complete answer is obtained, whereas for arbitrary (analytic) adjacency a necessary condition and a sufficient condition are proved. We also show an example of singular curve of type D' that can be deformed to a curve of type D without D' being adjacent to D.

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