JournalsrmiVol. 41, No. 6pp. 2379–2400

Universality lifting from a general base field

  • Vítězslav Kala

    Charles University, Praha, Czech Republic
    ORCID

  • Daejun Kim

    Korea University, Seoul, South Korea
    ORCID

  • Seok Hyeong Lee

    Seoul National University, South Korea
    ORCID
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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 this article

Vítězslav Kala, Daejun Kim, Seok Hyeong Lee, Universality lifting from a general base field. Rev. Mat. Iberoam. 41 (2025), no. 6, pp. 2379–2400

DOI 10.4171/RMI/1565