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2012 Computation-free presentation of the fundamental group of generic $(p,q)$–torus curves
Enrique Artal Bartolo, José Ignacio Cogolludo Agustín, Jorge Ortigas-Galindo
Algebr. Geom. Topol. 12(3): 1265-1272 (2012). DOI: 10.2140/agt.2012.12.1265

Abstract

We present a new method for computing fundamental groups of curve complements using a variation of the Zariski–van Kampen method on general ruled surfaces. As an application we give an alternative (computation-free) proof for the fundamental group of generic (p,q)–torus curves.

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Enrique Artal Bartolo. José Ignacio Cogolludo Agustín. Jorge Ortigas-Galindo. "Computation-free presentation of the fundamental group of generic $(p,q)$–torus curves." Algebr. Geom. Topol. 12 (3) 1265 - 1272, 2012. https://doi.org/10.2140/agt.2012.12.1265

Information

Received: 16 January 2012; Revised: 23 March 2012; Accepted: 28 March 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1254.14031
MathSciNet: MR2966685
Digital Object Identifier: 10.2140/agt.2012.12.1265

Subjects:
Primary: 14F45, 14H30, 14H50
Secondary: 14E05, 14H10, 57M05, 57M12

Rights: Copyright © 2012 Mathematical Sciences Publishers

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