On rigid covers associated to the three-cuspidal quartic

Meirav Amram; Michael Dettweiler; Mina Teicher

doi:10.1007/s12188-009-0033-0

On rigid covers associated to the three-cuspidal quartic

Meirav Amram
, Michael Dettweiler
, Mina Teicher

Department of Mathematics

Heidelberg University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 PSL₂(F₇) is proved.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	80
Issue number	1
DOIs	https://doi.org/10.1007/s12188-009-0033-0
State	Published - Jun 2010

Keywords

Braid groups
Plane curve complements
Rigid covers

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10.1007/s12188-009-0033-0

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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 PSL2(F7) is proved.",

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KW - Plane curve complements

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On rigid covers associated to the three-cuspidal quartic

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Keywords

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