Abstract
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.
The first author is supported by the Netherlands Organization for Scientific Research (NWO). The first three authors are partially supported by BFM2001-1488-C02-01. The forth author is partially supported by NSF grant DMS-0304759.
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Fernández de Bobadilla, J., Luengo, I., Melle Hernández, A., Némethi, A. (2006). Classification of Rational Unicuspidal Projective Curves whose Singularities Have one Puiseux Pair. In: Brasselet, JP., Ruas, M.A.S. (eds) Real and Complex Singularities. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7776-2_4
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