Recently, Oka-Pho proved that the fundamental group of the complement of any plane irreducible tame torus sextic is not abelian. We compute here the fundamental groups of the complements of some plane irreducible sextics which are not of torus type. For all our examples, we obtain that the fundamental group is abelian.
Publié le : 2005-01-14
Classification:
fundamental groups,
complements of plane singular curves,
Zariski-van Kampen theorem,
pencils of lines,
monodromies,
14H30
@article{1160745812,
author = {EYRAL, Christophe and OKA, Mutsuo},
title = {On the fundamental groups of the complements of plane singular sextics},
journal = {J. Math. Soc. Japan},
volume = {57},
number = {4},
year = {2005},
pages = { 37-54},
language = {en},
url = {http://dml.mathdoc.fr/item/1160745812}
}
EYRAL, Christophe; OKA, Mutsuo. On the fundamental groups of the complements of plane singular sextics. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp. 37-54. http://gdmltest.u-ga.fr/item/1160745812/