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

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) classifica...

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Detalles Bibliográficos
Autores: Fernández de Bobadilla de Olarzábal, Javier José, Luengo Velasco, Ignacio, Melle Hernández, Alejandro, Némethi, A.
Tipo de recurso: capítulo de libro
Fecha de publicación:2007
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/53147
Acceso en línea:https://hdl.handle.net/20.500.14352/53147
Access Level:acceso abierto
Palabra clave:512.7
Cuspidal rational plane curves
Logarithmic Kodaira dimension
Geometria algebraica
1201.01 Geometría Algebraica
Descripción
Sumario: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.