Northcott property and universality of higher degree forms

被引：0
|
作者：
Prakash, Om [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Sokolovska 83, Prague 8, Czech Republic
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2025年 / 21卷 / 03期
关键词：
Northcott property; m-ic lattices; universal higher degree forms; totally real fields; orders; QUADRATIC-FORMS; RANK; NORM;
D O I：
10.1142/S1793042125500344
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let K be a totally real number field, d a positive integer, and Q a higher degree form over K. We prove that there are at most finitely many totally real extensions L/K of degree d such that Q over L is universal. Further, we show that there are no universal forms over totally real infinite extensions of & Qopf; having the Northcott property.
引用
收藏
页码：675 / 694
页数：20
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