Galois points on singular plane quartic curves

被引：12

作者：

Miura, K ^{[1
]}

机构：

[1] Ube Natl Coll Technol, Dept Math, Ube, Yamaguchi 7558555, Japan

来源：

JOURNAL OF ALGEBRA | 2005年 / 287卷 / 02期

关键词：

Galois point; singular plane quartic curve;

D O I：

10.1016/j.jalgebra.2005.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the structure of function fields of plane curves following our method developed in [K. Miura, H. Yoshihara, Field theory for function fields of plane quartic curves, J. Algebra 226 (2000) 283-294]. Especially, we study Galois points on singular plane quartic curves and determine the number of Galois points on them. Furthermore, we give concrete defining equations when the curve has a Galois point. &COPY; 2005 Elsevier Inc. All rights reserved.

引用

页码：283 / 293

页数：11

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