Most totally real fields do not have universal forms or Northcott property
| Autor: | Daans, Nicolas, Kala, Vitezslav, Man, Siu Hang, Widmer, Martin, Yatsyna, Pavlo |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott property, is meager. The main tool is a new theorem on the number of square classes of totally positive units represented by a quadratic lattice of a given rank. Comment: preprint, 12 pages |
| Databáze: | arXiv |
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