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

页码：675 / 694

页数：20

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