Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair

de Bobadilla, J. Fernandez; Luengo, I.; Melle-Hernandez, A.; Nemethi, A.

Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair

Authors

de Bobadilla, J. Fernandez

Luengo, I.

Melle-Hernandez, A.

Nemethi, A.

Description

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.
To appear in Real and Complex Singularities (Luminy, 2004)