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

Hiro-o Tokunaga; Momoko Yamamoto; Shinzo Bannai

arxiv: 1710.02691 · v2 · pith:3JLFQAIJnew · submitted 2017-10-07 · 🧮 math.AG

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

Shinzo Bannai , Hiro-o Tokunaga , Momoko Yamamoto This is my paper

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keywords rationalarrangementscubic-lineellipticpointssurfaceszariskiapplication

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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.

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

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