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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E. Artal partially supported by MTM2013-45710-C2-1-P. A. Dimca partially supported by Institut Universitaire de France.
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Bartolo, E.A., Dimca, A. On fundamental groups of plane curve complements. Ann Univ Ferrara 61, 255–262 (2015). https://doi.org/10.1007/s11565-015-0231-x
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DOI: https://doi.org/10.1007/s11565-015-0231-x