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.
"Zariski tuples for a smooth cubic and its tangent lines." Proc. Japan Acad. Ser. A Math. Sci. 96 (2) 18 - 21, February 2020. https://doi.org/10.3792/pjaa.96.004