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On sextic curves with big Milnor number.

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Artal Bartolo, Enrique y Carmona Ruber, Jorge y Cogolludo Agustín, José Ignacio (2002) On sextic curves with big Milnor number. In Trends in Singularities. Birkhäuser Basel, USA, pp. 1-29. ISBN 978-3-0348-9461-6

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URL Oficial: http://link.springer.com/chapter/10.1007/978-3-0348-8161-6_1


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Resumen

In this work we present an exhaustive description, up to projective isomorphism, of all irreducible sextic curves in ℙ2 having a singular point of type , A n ,n⩾15 n ≥ 15, only rational singularities and global Milnor number at least 18. Moreover, we develop a method for an explicit construction of sextic curves with at least eight — possibly infinitely near — double points. This method allows us to express such sextic curves in terms of arrangements of curves with lower degrees and it provides a geometric picture of possible deformations. Because of the large number of cases, we have chosen to carry out only a few to give some insights into the general situation.


Tipo de documento:Sección de libro
Palabras clave:Equisingular family; Sextic curves; Deformation; Fundamental group
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:22480
Depositado:22 Jul 2013 08:21
Última Modificación:02 Aug 2018 11:17

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