Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair
Algebraic Geometry
2007-05-23 v1
Abstract
It is a very old and interesting open problem to characterize those collections of embedded topological types of local plane curve singularities which may appear as singularities of a projective plane curve C of degree d. The goal of the present article is to give a complete (topological) classification of those cases when C is rational and it has a unique singularity which is locally irreducible (i.e. C is unicuspidal) with one Puiseux pair.
Cite
@article{arxiv.math/0604420,
title = {Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair},
author = {J. Fernandez de Bobadilla and I. Luengo and A. Melle-Hernandez and A. Nemethi},
journal= {arXiv preprint arXiv:math/0604420},
year = {2007}
}
Comments
To appear in Real and Complex Singularities (Luminy, 2004)