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arXiv · 1611.01864

Geometry of bisections of elliptic surfaces and Zariski $N$-plets II

Shinzo Bannai·Hiro-o Tokunaga
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Abstract

In this article, we continue to study the geometry of bisections of certain rational elliptic surfaces. As an application, we give examples of Zariski N + 1-plets of degree 2N + 4 whose irreducible components are an irreducible quartic curve with 2 nodes and N smooth conics. Furthermore, by considering the case of N = 2 and combining with known results, a new Zariski 5-plet for reduced plane curves of degree 8 is given.

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Shinzo Bannai, Hiro-o Tokunaga. 2016-11-07. Geometry of bisections of elliptic surfaces and Zariski $N$-plets II. https://arxiv.org/abs/1611.01864

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