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arXiv · 2407.20781

Universality lifting from a general base field

Vitezslav Kala·Daejun Kim·Seok Hyeong Lee
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Abstract

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.

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Vitezslav Kala, Daejun Kim, Seok Hyeong Lee. 2024-07-30. Universality lifting from a general base field. https://doi.org/10.4171/rmi/1565

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