Zariski tuples for a smooth cubic and its tangent lines

被引：4

作者：

Bannai, Shinzo ^{[1
]}

Tokunaga, Hiro-o ^{[2
]}

机构：

[1] Natl Inst Technol, Ibaraki Coll, 866 Nakane, Hitachnaka, Ibaraki 3128508, Japan

[2] Tokyo Metropolitan Univ, Grad Sch Sci, Dept Math Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2020年 / 96卷 / 02期

关键词：

Elliptic curves; torsion points; Zariski pairs; splitting numbers; ELLIPTIC-SURFACES; ARRANGEMENTS; TOPOLOGY; SECTIONS;

D O I：

10.3792/pjaa.96.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：18 / 21

页数：4

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