Universality lifting from a general base field
Given a totally real number field F , we show that there are only finitely many totally real extensions of K of a fixed degree that admit a universal quadratic form defined over F . We further obtain several explicit classification results in the case of relative quadratic extensions.
Authors
- Vítězslav Kala (ORCID: https://orcid.org/0000-0001-5515-6801)
- Daejun Kim (ORCID: https://orcid.org/0000-0003-3203-1648)
- Seok Hyeong Lee
Institutions
- Seoul National University (KR)
- Korea University (KR)
- Charles University (CZ)
Publication Details
- Journal
- Revista Matemática Iberoamericana
- Published
- 2025-05-22
- DOI
- https://doi.org/10.4171/rmi/1565
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00