Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements

Shinzo BANNAI; Hiro-o TOKUNAGA; Momoko YAMAMOTO

doi:10.14492/hokmj/1591085013

Abstract

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.

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Shinzo BANNAI. Hiro-o TOKUNAGA. Momoko YAMAMOTO. "Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements." Hokkaido Math. J. 49 (1) 87 - 108, February 2020. https://doi.org/10.14492/hokmj/1591085013

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Published: February 2020

First available in Project Euclid: 2 June 2020

zbMATH: 07209521

MathSciNet: MR4105537

Digital Object Identifier: 10.14492/hokmj/1591085013

Subjects:

Primary: 14H30 , 14H50 , 14J27

Keywords: cubic-line arrangement , elliptic surface , rational points , Zariski pair

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