Galois points for plane curves and Cremona transformations

被引：11
|
作者：
Miura, Kei [1 ]
机构：
[1] Ube Natl Coll Technol, Dept Math, Ube, Yamaguchi 7558555, Japan
来源：
JOURNAL OF ALGEBRA | 2008年 / 320卷 / 03期
关键词：
Galois point; plane curve; Cremona transformation;
D O I：
10.1016/j.jalgebra.2008.04.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relation between Galois points for plane curves and Cremona transformations. First, we prove that a Galois point is preserved by a standard quadratic transformation. Then, we define a certain minimality for a pair of a plane curve and a Galois point. So that, we study defining equations of plane curves with a Galois point. (C) 2008 Elsevier Inc. All rights reserved.
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页码：987 / 995
页数：9
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