Vertical unramified Brauer groups of Galois normic bundles

Abstract

We compute the vertical unramified Brauer group of the Galois normic bundles, which are given by NK/k(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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