Zariski tuples for a smooth cubic and its tangent lines

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Shinzo Bannai¹  Hiro-o Tokunaga² 

[1] National Institute of Technology, Ibaraki College;Department of Mathematical Sciences, Graduate School of Science, Tokyo Metropolitan University

关键词: Elliptic curves;    torsion points;    Zariski pairs;    splitting numbers.;   

DOI  :  10.3792/pjaa.96.004

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown