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

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

2006-04-19

arxiv.org/abs/math/0604420v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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