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

Fernández de Bobadilla de Olarzábal, Javier JoséLuengo Velasco, IgnacioMelle Hernández, AlejandroNémethi, A.Brasselet, J.P.Ruas, Mas2023-06-202023-06-2020073-7643-7775-510.1007/978-3-7643-7776-2_4https://hdl.handle.net/20.500.14352/53147Conference: 8th Workshop on Real and Complex Singularities Location: Luminy, France Date: Jul. 19-23, 2004It 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.engClassification of rational unicuspidal projective curves whose singularities have one Puiseux pairbook parthttp://www.springerlink.com/content/rr01708165063370/http://www.springerlink.com/open access512.7Cuspidal rational plane curvesLogarithmic Kodaira dimensionGeometria algebraica1201.01 Geometría Algebraica