Zariski $N$-ples for a smooth cubic and its tangent lines

Abstract

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 N-ples consisting of such curves.

arXiv comment7 pages

References in corpus (2)

• Connected numbers and the embedded topology of plane curves
• Rational points of elliptic surfaces and Zariski $N$-ples for cubic-line, cubic-conic-line arrangements

Cited by in corpus (1)

• Torsion divisors of plane curves and Zariski pairs