Hiro-o Tokunaga (Tokyo Metropolitan University)
Hiro-o Tokunaga (Tokyo Metropolitan University)
On the topology of cubic-line arrangements
On the topology of cubic-line arrangements
We study the geometry of two-torsion points of elliptic curves given by two tangent lines 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.