An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction

被引：1

作者：

Pagano, Margherita ^{[1
]}

机构：

[1] Math Inst, Niels Bohrweg 1, NL-2333 CA Leiden, Netherlands

来源：

RESEARCH IN NUMBER THEORY | 2022年 / 8卷 / 03期

关键词：

Brauer-Manin obstruction to weak approximation; Rational points; K3; surfaces; Good ordinary reduction;

D O I：

10.1007/s40993-022-00353-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following Bright and Newton, we construct an explicit K3 surface over the rational numbers having good reduction at 2, and for which 2 is the only prime at which weak approximation is obstructed.

引用

页数：15

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