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Computation-free
presentation of the fundamental group of generic
$(p,q)$–torus curves
Enrique Artal Bartolo, José Ignacio Cogolludo Agustín and Jorge Ortigas-Galindo |
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Algebraic & Geometric Topology 12 (2012) 1265–1272
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Abstract |
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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 –torus curves. |
Keywords
algebraic curve, fundamental group, braid monodromy
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Mathematical Subject Classification 2010
Primary: 14F45, 14H30, 14H50
Secondary: 57M05, 57M12, 14H10, 14E05
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References |
Publication
Received: 16 January 2012
Revised: 23 March 2012
Accepted: 28 March 2012
Published: 9 June 2012
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Authors |
| Enrique Artal Bartolo | |
| Departamento de Matemáticas,
IUMA Universidad de Zaragoza C/ Pedro Cerbuna 12 50009 Zaragoza Spain |
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| http://riemann.unizar.es/geotop/WebGeoTo/Profes/eartal/ | |
| José Ignacio Cogolludo Agustín | |
| Departamento de Matemáticas,
IUMA Universidad de Zaragoza C/ Pedro Cerbuna 12 50009 Zaragoza Spain |
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| http://riemann.unizar.es/~jicogo/ | |
| Jorge Ortigas-Galindo | |
| Centro Universitario de la
Defensa-IUMA Universidad de Zaragoza Academia General Militar Ctra de Huesca s/n 50090 Zaragoza Spain |
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| http://riemann.unizar.es/~jortigas/ | |
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