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.
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页码：139 / 159
页数：21
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