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

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Fernández de Bobadilla de Olarzábal, Javier José and Luengo Velasco, Ignacio and Melle Hernández, Alejandro and Némethi, A. (2007) Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair. In Real and complex singularities. Trends in Mathematics . Birkhauser Boston, Birkhauser Boston, 675 Massachusetts Ave, Cambridge, Ma 02139-2333 Usa, pp. 31-45. ISBN 3-7643-7775-5

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Official URL: http://www.springerlink.com/content/rr01708165063370/


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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.


Item Type:Book Section
Additional Information:

Conference: 8th Workshop on Real and Complex Singularities Location: Luminy, France Date: Jul. 19-23, 2004

Uncontrolled Keywords:Cuspidal rational plane curves; Logarithmic Kodaira dimension
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:16589
Deposited On:02 Oct 2012 08:21
Last Modified:09 Aug 2018 09:08

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