AUTOMORPHISM GROUPS OF SMOOTH PLANE CURVES

被引：19

作者：

Harui, Takeshi ^{[1
]}

机构：

[1] Kochi Univ Technol, Dept Core Studies, 2-22 Eikokuji, Kochi, Kochi 7808515, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2019年 / 42卷 / 02期

关键词：

automorphism groups; plane curves;

D O I：

10.2996/kmj/1562032832

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author classifies finite groups acting on smooth plane curves of degree at least four. Furthermore, he gives an upper bound for the order of automorphism groups of smooth plane curves and determines the exceptional cases in terms of defining equations. This paper also contains a simple proof of the uniqueness of smooth plane curves with the full automorphism group of maximum order for each degree.

引用

页码：308 / 331

页数：24

共 18 条

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Harui, Takeshi
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