Insufficiency of the Brauer-Manin obstruction applied to etale covers

被引：0

作者：

Poonen, Bjorn ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ANNALS OF MATHEMATICS | 2010年 / 171卷 / 03期

基金：

美国国家科学基金会;

关键词：

RATIONAL-POINTS; CHATELET SURFACES; HASSE-PRINCIPLE; QUADRICS; INTERSECTIONS;

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 any global field of characteristic not 2. We construct a k-variety X such that X(k) is empty, but for which the emptiness cannot be explained by the Brauer-Manin obstruction or even by the Brauer-Manin obstruction applied to finite etale covers.

引用

页码：2157 / 2169

页数：13

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