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arXiv · 1507.08178

On fundamental groups of plane curve complements

Enrique Artal Bartolo·Alexandru Dimca
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Abstract

In this paper we discuss some properties of fundamental groups and Alexander polynomials of plane curves. We discuss the relationship of the non-triviality of Alexander polynomials and the notion of (nearly) freeness for irreducible plane curves. We reprove and restate in modern terms a somewhat forgotten result of Zariski. Finally, we describe some topological properties of curves with abelian fundamental group.

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Enrique Artal Bartolo, Alexandru Dimca. 2015-07-29. On fundamental groups of plane curve complements. https://arxiv.org/abs/1507.08178

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