Work

Arithmetic Springer theorem and $n$-universality under field extensions

Year: 2023

Type: preprint

Abstract: Based on BONGs theory, we prove the norm principle for integral and relative integral spinor norms of quadratic forms over general dyadic local fields, respectively. By virtue of these results, we further establish the arithmetic version of Springer's theorem for indefinite quadratic forms. Moreover, we solve the lifting problems on $n$-universality over arbitrary local fields.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2312.09560

Author: He, Zilong

Institution: Dongguan University of Technology

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

OpenAlex ID: W4389910975

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