The Zariski problem for function fields of quadratic forms

被引：7
|
作者：
Ohm, J
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 06期
关键词：
quadratic form; function field; Zariski problem;
D O I：
10.1090/S0002-9939-96-03238-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By 'a quadratic function field' is meant the affine function field of a nonsingular quadratic form of dimension > 2. What quadratic function fields contain a given quadratic function field k(P)? This problem is solved here for quadratic forms P of dimensions 3 and 4, and an application to the Zariski cancellation problem for quadratic function fields is given.
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页码：1679 / 1685
页数：7
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