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VOL. 56 | 2009 On irreducible sextics with non-abelian fundamental group
Alex Degtyarev

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

Abstract

We calculate the fundamental groups $\pi = \pi_1 (\mathbb{P}^2 \smallsetminus B)$ for all irreducible plane sextics $B \subset \mathbb{P}^2$ with simple singularities for which $\pi$ is known to admit a dihedral quotient $\mathbb{D}_{10}$. All groups found are shown to be finite, two of them being of large order: 960 and 21600.

Information

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

zbMATH: 1193.14037
MathSciNet: MR2604077

Digital Object Identifier: 10.2969/aspm/05610065

Subjects:
Primary: 14H30, 14H45

Rights: Copyright © 2009 Mathematical Society of Japan

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