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Number fields without universal quadratic forms of small rank exist in most degrees
Published online by Cambridge University Press: 06 May 2022
Abstract
We prove that in each degree divisible by 2 or 3, there are infinitely many totally real number fields that require universal quadratic forms to have arbitrarily large rank.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 174 , Issue 2 , March 2023 , pp. 225 - 231
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Cambridge Philosophical Society
Footnotes
The author was supported by Czech Science Foundation GAČR, grant 21-00420M, and by Charles University, projects PRIMUS/20/SCI/002 and UNCE/SCI/022.
References
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