Vertical unramified Brauer groups of Galois normic bundles
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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 $P(x)$.
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