On Parallel Lines and Free Group

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We show that the fundamental group of the complement of an arrangement of complex lines in the complex plane is a free group if and only if the arrangement is a union of parallel lines.
8 pages

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Geometric Topology, Algebraic Geometry, 14H30

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http://salesiana.dossiersoluciones.com/handle/123456789/229753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.1178
 http://arxiv.org/abs/0905.1178

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arXiv