Galois points for a plane curve in arbitrary characteristic

被引：19

作者：

Fukasawa, Satoru ^{[1
]}

机构：

[1] Waseda Univ, Dept Math, Sch Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

来源：

GEOMETRIAE DEDICATA | 2009年 / 139卷 / 01期

基金：

日本学术振兴会;

关键词：

Galois point; Plane curve; FIELD-THEORY; CLOSURE CURVES; NUMBER; LINES;

D O I：

10.1007/s10711-008-9325-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1996, Hisao Yoshihara introduced a new notion in algebraic geometry: a Galois point for a plane curve is a point from which the projection induces a Galois extension of function fields. Yoshihara has established various new approaches to algebraic geometry by using Galois point or generalized notions of it. It is an interesting problem to determine the distribution of Galois points for a given plane curve. In this paper, we survey recent results related to this problem.

引用

页码：211 / 218

页数：8

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