Zariski tuples for a smooth cubic and its tangent lines
[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.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] Elliptic curves;torsion points;Zariski pairs;splitting numbers. [时效性]