Vertical unramified Brauer groups of Galois normic bundles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911349910536192 |
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| author | Liu, Yufan |
| author_facet | Liu, Yufan |
| contents | We compute the vertical unramified Brauer group of the Galois normic bundles, which are given by $\mathrm{N}_{K/k}(\mathbf{z})=P(x)$. Our main result gives combinatorial formulas for the vertical unramified Brauer groups in terms of the Galois group structure of $K/k$ and the irreducible factors of $P(x)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00052 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vertical unramified Brauer groups of Galois normic bundles Liu, Yufan Number Theory Algebraic Geometry 14F22 We compute the vertical unramified Brauer group of the Galois normic bundles, which are given by $\mathrm{N}_{K/k}(\mathbf{z})=P(x)$. Our main result gives combinatorial formulas for the vertical unramified Brauer groups in terms of the Galois group structure of $K/k$ and the irreducible factors of $P(x)$. |
| title | Vertical unramified Brauer groups of Galois normic bundles |
| topic | Number Theory Algebraic Geometry 14F22 |
| url | https://arxiv.org/abs/2601.00052 |