English

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

Algebraic Geometry 2019-03-12 v1

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.

Keywords

Cite

@article{arxiv.1903.04098,
  title  = {Zariski $N$-ples for a smooth cubic and its tangent lines},
  author = {Shinzo Bannai and Hiro-o Tokunaga},
  journal= {arXiv preprint arXiv:1903.04098},
  year   = {2019}
}

Comments

7 pages