A remark on Artal's paper
This paper contains a new interpretation of an example of Zariski pairs introduced by the reviewer [\textit{E. Artal Bartolo}, J. Algebr. Geom. 3, No. 2, 223-247 (1994; Zbl 0823.14013)]. The example consists of curves with four irreducible components: a smooth cubic and three lines in general position which are tangent to inflection points of the cubic. In the reviewer's paper it was proven that the topological type of the embedding of these curves in the projective plane depends on the position of the inflection points on a line. The author proves this fact with the help of his theory about dihedral coverings. One main point of this paper is the new relationship of Zariski pairs and Mordell-Weil groups of elliptic \(K3\) surfaces.
Mordell-Weil groups of elliptic \(K3\) surfaces
scientific article; zbMATH DE number 949863
scientific article