On the fundamental groups of the complements of plane singular sextics

被引：17

作者：

Eyral, C ^{[1
]}

Oka, M ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math, Tokyo 1920397, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2005年 / 57卷 / 01期

关键词：

fundamental groups; complements of plane singular curves; Zariski-van Kampen theorem; pencils of lines; monodromies;

D O I：

10.2969/jmsj/1160745812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：37 / 54

页数：18

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