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.

引用

页码：1679 / 1685

页数：7

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