Enriques diagrams and adjacency of planar curve singularities

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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.
14 pages, 5 figures

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62118

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108223
 http://arxiv.org/abs/math/0108223

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arXiv