光滑三次面及其切线的扎里斯基元组

Pub Date : 2019-03-11 DOI:10.3792/pjaa.96.004

S. Bannai, H. Tokunaga

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引用次数: 7

摘要

为了区分由光滑三次面及其切线组成的可约平面曲线的内嵌拓扑，本文研究了椭圆曲线的双扭转点几何。结果，我们得到了一个由这样的曲线组成的新的Zariski n -ple族。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Zariski tuples for a smooth cubic and its tangent lines

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.

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