Anisotropy of quadratic forms over global fields of characteristic $\neq$ 2 is diophantine
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908857173803008 |
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| author | Hu, Guang |
| author_facet | Hu, Guang |
| contents | We prove that the set of anisotropic quadratic forms over global fields of characteristic different from 2 is a diophantine set. Our proof builds upon and extends the method of Koenigsmann, using tools from class field theory, the local-global principle, and advances on the diophantine definability of non-norm sets over global fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00537 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anisotropy of quadratic forms over global fields of characteristic $\neq$ 2 is diophantine Hu, Guang Number Theory We prove that the set of anisotropic quadratic forms over global fields of characteristic different from 2 is a diophantine set. Our proof builds upon and extends the method of Koenigsmann, using tools from class field theory, the local-global principle, and advances on the diophantine definability of non-norm sets over global fields. |
| title | Anisotropy of quadratic forms over global fields of characteristic $\neq$ 2 is diophantine |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.00537 |