Enriques diagrams and adjacency of planar curve singularities

Maria Alberich-Carramiñana, Joaquim Roé

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4 Citations (Scopus)

Abstract

We study adjacency of equisingularity types of planar complex curve singularities in terms of their Enriques diagrams. The goal is, given two equisingularity types, to determine whether one of them is adjacent to the other. For linear adjacency a complete answer is obtained, whereas for arbitrary (analytic) adjacency a necessary condition and a sufficient condition are proved. We also obtain new examples of exceptional deformations, i.e, singular curves of type D' that can be deformed to a curve of type D without D' being adjacent to D. © Canadian Mathematical Society 2005.
Original languageEnglish
Pages (from-to)3-16
JournalCanadian Journal of Mathematics
Volume57
Issue number1
DOIs
Publication statusPublished - 1 Jan 2005

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