Brauer-Manin obstruction to the local-global principle for the embedding problem

被引：2

作者：

Pal, Ambrus ^{[1
]}

Schlank, Tomer M. ^{[2
]}

机构：

[1] Imperial Coll, Dept Math, 180 Queens Gate, London SW7 2AZ, England

[2] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2022年 / 18卷 / 07期

基金：

英国工程与自然科学研究理事会;

关键词：

Embedding problems; local-global principle; Brauer-Manin obstruction; APPROXIMATION PROPERTIES; HOMOGENEOUS SPACES;

D O I：

10.1142/S1793042122500786

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the (algebraic) Brauer-Manin obstruction is the only one to strong approximation when the embedding problem has abelian kernel.

引用

页码：1535 / 1565

页数：31

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