Universality lifting from a general base field

2024/07/30 by Kala, Vitezslav, Kim, Daejun, Lee, Seok Hyeong
#11E12 #11E20 #11H06 #11R04 #11R80 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2407.20781

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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