Journal of the Mathematical Society of Japan

On the fundamental groups of the complements of plane singular sextics

Christophe EYRAL and Mutsuo OKA

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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.

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J. Math. Soc. Japan, Volume 57, Number 1 (2005), 37-54.

First available in Project Euclid: 13 October 2006

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Zentralblatt MATH identifier

Primary: 14H30: Coverings, fundamental group [See also 14E20, 14F35]

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


EYRAL, Christophe; OKA, Mutsuo. On the fundamental groups of the complements of plane singular sextics. J. Math. Soc. Japan 57 (2005), no. 1, 37--54. doi:10.2969/jmsj/1160745812.

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