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Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements. (English) Zbl 1442.14115

Summary: In this paper, we continue the study of the relation between rational points of rational elliptic surfaces and the topology of plane curves. As an application, we give first examples of Zariski pairs of cubic-line arrangements that do not involve inflectional tangent lines.

MSC:

14J27 Elliptic surfaces, elliptic or Calabi-Yau fibrations
14H30 Coverings of curves, fundamental group
14H50 Plane and space curves
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