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VOL. 56 | 2009 A plane sextic with finite fundamental group
Alex Degtyarev, Mutsuo Oka

Editor(s) Jean-Paul Brasselet, Shihoko Ishii, Tatsuo Suwa, Michel Vaquie

Abstract

We analyze irreducible plane sextics whose fundamental group factors to $\mathbb{D}_{14}$. We produce explicit equations for all curves and show that, in the simplest case of the set of singularities $3\mathbf{A}_6$, the group is $\mathbb{D}_{14} \times \mathbb{Z}_3$.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1193.14038
MathSciNet: MR2604078

Digital Object Identifier: 10.2969/aspm/05610093

Subjects:
Primary: 14H30, 14H45

Rights: Copyright © 2009 Mathematical Society of Japan

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