Zariski tuples for a smooth cubic and its tangent lines

S.Bannai and H.Tokunaga

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.

Proc. Japan Acad., Ser. A Math. Sci.

96

2