Geodesic
The fundamental group of the complement of a~plane algebraic curve
Sbornik. Mathematics, Tome 65 (1990) no. 1, pp. 267-277

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$\pi_1(\mathbf C^2-K)$ is computed, where $K$ is an algebraic curve having only simple double points and satisfying certain restrictions at infinity. These restrictions are satisfied, for example, for a general curve parametrized by polynomials of given degrees, and also for a general curve with given Newton polyhedron. As a corollary, a new proof of the Fulton-Deligne theorem that $\pi_1(\mathbf CP^2-K)$ is abelian is obtained, if $K$ has only simple double points in $\mathbf CP^2$. Figures: 1. Bibliography: 7 titles. 
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     author = {S. Yu. Orevkov},
     title = {The fundamental group of the complement of a~plane algebraic curve},
     journal = {Sbornik. Mathematics},
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     number = {1},
     year = {1990},
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     url = {http://geodesic.mathdoc.fr/item/SM_1990_65_1_a13/}
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S. Yu. Orevkov. The fundamental group of the complement of a~plane algebraic curve. Sbornik. Mathematics, Tome 65 (1990) no. 1, pp. 267-277. http://geodesic.mathdoc.fr/item/SM_1990_65_1_a13/