2026-06-29T08:03:28Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/607562023-09-07T18:40:56Zcom_20.500.14352_14col_20.500.14352_21
On sextic curves with big Milnor number.
Artal Bartolo, Enrique
Carmona Ruber, Jorge
Cogolludo Agustín, José Ignacio
Libgober, Amatoly
Tibăr, Mihai
512.7
Equisingular family
Sextic curves
Deformation
Fundamental group
Geometria algebraica
1201.01 Geometría Algebraica
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.
DGES
DGES
Sección Deptal. de Sistemas Informáticos y Computación
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T21:07:42Z
2023-06-20T21:07:42Z
2002
book part
https://hdl.handle.net/20.500.14352/60756
XXXX-XXXX
10.1007/978-3-0348-8161-6_1
eng
PB97-0284-C02-02
PB97-0284-C02-01
open access
application/pdf
Birkhäuser Basel