Universality lifting from a general base field
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915572485193728 |
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| author | Kala, Vitezslav Kim, Daejun Lee, Seok Hyeong |
| author_facet | Kala, Vitezslav Kim, Daejun Lee, Seok Hyeong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20781 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universality lifting from a general base field Kala, Vitezslav Kim, Daejun Lee, Seok Hyeong Number Theory 11E12, 11E20, 11R04, 11R80, 11H06 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. |
| title | Universality lifting from a general base field |
| topic | Number Theory 11E12, 11E20, 11R04, 11R80, 11H06 |
| url | https://arxiv.org/abs/2407.20781 |