Rational poionts on homogenous spaces and their compactifications

被引：0
|
作者：
Florence, M. [1 ]
机构：
[1] Univ Paris Sud, Orsay, France
来源：
TRANSFORMATION GROUPS | 2006年 / 11卷 / 02期
关键词：
D O I：
10.1007/s00031-004-1107-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a perfect field and G an algebraic group defined over k. Let X be a homogeneous space of G. We show the following: if there exists a k-variety which is birational to X and which has a smooth k-rational point, then X also has a k-rational point (Theorem 5.7).
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页码：161 / 176
页数：16
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