ABELIAN VARIETIES AND GALOIS EXTENSIONS OF HILBERTIAN FIELDS

被引：4
|
作者：
Thornhill, Christopher [1 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2013年 / 12卷 / 02期
关键词：
Abelian varieties; Hilbertian fields; Galois groups;
D O I：
10.1017/S1474748012000680
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a recent paper Moshe Jarden (Diamonds in torsion of Abelian varieties, T. Inst. Math. Jussieu 9(3) (2010), 477-480) proposed a conjecture, later named the Kuykian conjecture, which states that if A is an Abelian variety defined over a Hilbertian field K, then every intermediate field of K(A(tor))/K is Hilbertian. We prove that the conjecture holds for Galois extensions of K in K(A(tor)).
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收藏
页码：237 / 247
页数：11
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