Vertical unramified Brauer groups of Galois normic bundles

Yufan Liu

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arxiv 2601.00052 v2 pith:HYSVQCS6 submitted 2025-12-31 math.NT math.AG

Vertical unramified Brauer groups of Galois normic bundles

Yufan Liu This is my paper

classification math.NT math.AG

keywords brauergaloisunramifiedverticalbundlesgroupgroupsnormic

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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 $P(x)$.

Vertical unramified Brauer groups of Galois normic bundles

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