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.
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页码：18 / 21
页数：4
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