Hilbertianity of division fields of commutative algebraic groups

被引：0

作者：

Arno Fehm

Sebastian Petersen

机构：

[1] University of Konstanz,Department of Mathematics and Statistics

[2] University of Kassel,Department of Mathematics

来源：

Israel Journal of Mathematics | 2013年 / 195卷

关键词：

Exact Sequence; Algebraic Group; Galois Group; Abelian Variety; Closed Subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a commutative algebraic group over a finitely generated infinite field K of characteristic p. We prove that every extension of K contained in the field obtained by adjoining to K all prime-to-p torsion points of G is Hilbertian. We also determine when the field obtained by adjoining to K all torsion points of G has this property. This extends results of Moshe Jarden on abelian varieties.

引用

页码：123 / 134

页数：11