ON THE NORTHCOTT PROPERTY AND LOCAL DEGREES

被引：9
|
作者：
Checcoli, S. [1 ]
Fehm, A. [2 ]
机构：
[1] Univ Grenoble Alpes, Inst Fourier, 100 Rue Math, F-38610 Gieres, France
[2] Tech Univ Dresden, Inst Algebra, Fak Math, D-01062 Dresden, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 06期
关键词：
SMALL HEIGHT; EXTENSIONS; FIELDS; DEFINABILITY; INTEGERS;
D O I：
10.1090/proc/15411
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct infinite Galois extensions L of Q that satisfy the Northcott property on elements of small height, and where this property can be deduced solely from the local behavior of L at the different prime numbers. We also give examples of Galois extensions of Q which have finite local degree at all prime numbers and do not satisfy the Northcott property.
引用
收藏
页码：2403 / 2414
页数：12
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