Recently, Oka-Pho proved that the fundamental group of the complement of any plane irreducible tame torus sextic is not abelian. We compute here the fundamental groups of the complements of some plane irreducible sextics which are not of torus type. For all our examples, we obtain that the fundamental group is abelian.
Christophe EYRAL. Mutsuo OKA. "On the fundamental groups of the complements of plane singular sextics." J. Math. Soc. Japan 57 (1) 37 - 54, January, 2005. https://doi.org/10.2969/jmsj/1160745812