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On rigid covers associated to the three-cuspidal quartic

On rigid covers associated to the three-cuspidal quartic We determine the fundamental group of the complement of the three-cuspidal quartic minus the tangent lines through the cusps. The existence of a rigid covering of this complement whose monodromy group is isomorphic to the simple group $\mathrm{PSL}_{2}(\mathbb{F}_{7})$ is proved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Mathematisches Seminar der Universität Hamburg and Springer
Subject
Mathematics; Geometry ; Topology; Number Theory; Combinatorics; Differential Geometry; Algebra
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/s12188-009-0033-0
Publisher site
See Article on Publisher Site

Abstract

We determine the fundamental group of the complement of the three-cuspidal quartic minus the tangent lines through the cusps. The existence of a rigid covering of this complement whose monodromy group is isomorphic to the simple group $\mathrm{PSL}_{2}(\mathbb{F}_{7})$ is proved.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Dec 15, 2009

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