Galois sections for abelian varieties over number fields

被引：0

作者：

Ciperiani, Mirela ^{[1
]}

Stix, Jakob ^{[2
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Goethe Univ Frankfurt, Inst Math, D-60325 Frankfurt, Germany

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2015年 / 27卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.5802/jtnb.892

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an abelian variety A over a number field k, we discuss the space of sections of its fundamental group extension pi(1)(A/k). By analyzing the maximal divisible subgroup of H-1(k, A) we show that the space of sections of pi(1) (A/k) contains a copy of (Z) over cap ([k:Q].dim(A)) and is never in bijection with A(k). This is essentially a result about the structure of H-1(k, T-l (A)).

引用

页码：47 / 52

页数：6

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