Rational points of elliptic surfaces and Zariski $N$-ples for cubic-line, cubic-conic-line arrangements

Abstract

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

19 pages, Fixed minor error in Section 2 (Results are unchanged)

Cited by in corpus (1)

• Zariski $N$-ples for a smooth cubic and its tangent lines