Universality lifting from a general base field
Number Theory
2025-10-27 v1
Abstract
Given a totally real number field , we show that there are only finitely many totally real extensions of of a fixed degree that admit a universal quadratic form defined over . We further obtain several explicit classification results in the case of relative quadratic extensions.
Cite
@article{arxiv.2407.20781,
title = {Universality lifting from a general base field},
author = {Vitezslav Kala and Daejun Kim and Seok Hyeong Lee},
journal= {arXiv preprint arXiv:2407.20781},
year = {2025}
}
Comments
17 pages