确定对称平面曲线的所有$（2，3）$环面结构

IF 0.8 4区数学 Q2 MATHEMATICS

Arkiv for Matematik Pub Date : 2018-10-01 DOI:10.4310/ARKIV.2018.V56.N2.A9

R. Kloosterman

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引用次数: 1

摘要

在本文中，我们描述了高度对称的39尖度12曲线的所有（2，3）-环面结构。用计算机直接确定这些环面结构似乎是遥不可及的。我们使用自同构的各种商来寻找环面结构。我们使用高度配对参数来表明没有进一步的结构。

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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Determining all $(2, 3)$-torus structures of a symmetric plane curve

In this paper, we describe all (2, 3)-torus structures of a highly symmetric 39-cuspidal degree 12 curve. A direct computer-aided determination of these torus structures seems to be out of reach. We use various quotients by automorphisms to find torus structures. We use a height pairing argument to show that there are no further structures.

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