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February 2020 Zariski tuples for a smooth cubic and its tangent lines
Shinzo Bannai, Hiro-o Tokunaga
Proc. Japan Acad. Ser. A Math. Sci. 96(2): 18-21 (February 2020). DOI: 10.3792/pjaa.96.004

Abstract

In this paper, we study the geometry of two-torsion points of elliptic curves in order to distinguish the embedded topology of reducible plane curves consisting of a smooth cubic and its tangent lines. As a result, we obtain a new family of Zariski tuples consisting of such curves.

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Shinzo Bannai. Hiro-o Tokunaga. "Zariski tuples for a smooth cubic and its tangent lines." Proc. Japan Acad. Ser. A Math. Sci. 96 (2) 18 - 21, February 2020. https://doi.org/10.3792/pjaa.96.004

Information

Published: February 2020
First available in Project Euclid: 4 February 2020

zbMATH: 07192783
MathSciNet: MR4059930
Digital Object Identifier: 10.3792/pjaa.96.004

Subjects:
Primary: 14H52
Secondary: 14E20

Keywords: Elliptic curves , splitting numbers , torsion points , Zariski pairs

Rights: Copyright © 2020 The Japan Academy

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Vol.96 • No. 2 • February 2020
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