Knotting of algebraic curves in CP2

For any k⩾3, I construct infinitely many pairwise smoothly non-isotopic smooth surfaces F⊂CP2 homeomorphic to a non-singular algebraic curve of degree 2k, realizing the same homology class as such a curve and having abelian fundamental group π1(CP2⧹F). This gives an answer to Problem 4.110 in the Kirby list (Kirby, Problems in low-dimensional topology, in: W. Kazez (Ed.), Geometric Topology, AMS/IP Stud. Adv. Math. vol 2.2, Amer. Math. Soc., Providence, 1997).