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The unramified Brauer groups of normic bundles
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We produce a partial compactification of the variety given by P(t)=N_{K/k}(\mathbf z) whose Brauer group coincides with the unramified Brauer group, where K is an \'etale k-algebra and P(t)\in k[t] is a nonconstant polynomial. Then we obtain a systematic method to compute the unramified Brauer group for all such varieties.
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Cited by 2 Pith papers
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Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle
For any finite abelian groups B0 ⊂ B, there exists a smooth rationally connected variety over a number field whose unramified Brauer group is B and whose Hasse principle obstruction is precisely B0.
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Vertical unramified Brauer groups of Galois normic bundles
For Galois normic bundles N_{K/k}(z)=P(x), the vertical unramified Brauer group is isomorphic to an explicit quotient of character groups determined by the Galois group G and the multiplicities of the irreducible fact...
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