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Enriques diagrams and adjacency of planar curve singularities

Maria Alberich-Carraminana·Joaquim Roe
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Abstract

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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Maria Alberich-Carraminana, Joaquim Roe. 2001-08-31. Enriques diagrams and adjacency of planar curve singularities. https://arxiv.org/abs/math/0108223

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