2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111622It 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)Algebraic GeometryPrimary. 14B05,14J17,32S25,57M27,57R57 Secondary. 14E15,32S45,57M25text