On k-universal quadratic lattices over unramified dyadic local fields

被引：2
|
作者：
He, Zilong [1 ]
Hu, Yong [2 ]
机构：
[1] Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523808, Peoples R China
[2] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2023年 / 227卷 / 07期
基金：
中国国家自然科学基金;
关键词：
INTEGRAL-REPRESENTATIONS; FORMS; INDEFINITE; INTEGERS;
D O I：
10.1016/j.jpaa.2023.107334
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k be a positive integer and let F be a finite unramified extension of Q2 with ring of integers OF. An integral (resp. classic) quadratic form over OF is called k-universal (resp. classic k-universal) if it represents all integral (resp. classic) quadratic forms of dimension k. In this paper, we provide a complete classification of k-universal and classic k-universal quadratic forms over OF. The results are stated in terms of the fundamental invariants associated to Jordan splittings of quadratic lattices. (c) 2023 Elsevier B.V. All rights reserved.
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页数：32
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