The Brauer group of tori
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909367828217856 |
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| author | Demeio, Julian |
| author_facet | Demeio, Julian |
| contents | We show that the map $\operatorname{Br} T \to (\operatorname{Br} T_{\bar k})^{Γ_k}$ is surjective for a torus $T$ defined over a field $k$ of characteristic $0$ when $k$ is a local or global field or $T$ is quasi-trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Brauer group of tori Demeio, Julian Number Theory Algebraic Geometry We show that the map $\operatorname{Br} T \to (\operatorname{Br} T_{\bar k})^{Γ_k}$ is surjective for a torus $T$ defined over a field $k$ of characteristic $0$ when $k$ is a local or global field or $T$ is quasi-trivial. |
| title | The Brauer group of tori |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2410.20616 |