GENERALLY RATIONAL POLYNOMIALS IN TWO VARIABLES

被引：0

作者：

Daigle, Daniel ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

OSAKA JOURNAL OF MATHEMATICS | 2015年 / 52卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

PLANE; LINE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field. A polynomial F is an element of k[X, Y] is said to be generally rational if, for almost all lambda is an element of k, the curve "F = lambda" is rational. It is well known that, if char k = 0, F is generally rational if there exists G is an element of k(X, Y) such that k(F, G) = k(X, Y). We give analogous results valid in arbitrary characteristic.

引用

页码：139 / 159

页数：21

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