Geodesic
On~the~structure of the fundamental group of the complement of algebraic curves in $\mathbf C^2$
Izvestiya. Mathematics , Tome 40 (1993) no. 2, pp. 443-454.

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This paper studies the fundamental group of the complement of an algebraic curve $D=\bigcup D_i$, in $\mathbf C^2$. It is proved that $\pi_1(\mathbf C^2\setminus D)$ decomposes into the direct product of the groups $\pi_1(\mathbf C^2\setminus D_i)$ if for all $i$ and $j$, $i\not= j$, the curves $D_i$ and $D_j$ do not intersect at infinity and in a neighborhood of any point of $D_i\cap D_j$ the curve $D$ is a divisor with normal crossings. 
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     title = {On~the~structure of the fundamental group of the complement of algebraic curves in $\mathbf C^2$},
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Vik. S. Kulikov. On~the~structure of the fundamental group of the complement of algebraic curves in $\mathbf C^2$. Izvestiya. Mathematics , Tome 40 (1993) no. 2, pp. 443-454. http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a6/

[1] Kulikov Vik. S., “Fundamentalnaya gruppa dopolneniya k giperpoverkhnosti v $\mathbf C^n$”, Izv. AN SSSR. Ser. matem., 55:2 (1991), 407–428 | MR | Zbl

[2] Nori M., “Zariski's conjecture and related problems”, Ann. Sci. Ec. Norm. Sup. Ser. 4, 16 (1983), 305–344 | MR | Zbl