Enriques diagrams and adjacency of planar curve singularities
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0108223,
title = {Enriques diagrams and adjacency of planar curve singularities},
author = {Maria Alberich-Carraminana and Joaquim Roe},
journal= {arXiv preprint arXiv:math/0108223},
year = {2007}
}
Comments
14 pages, 5 figures