The unramified Brauer groups of normic bundles
Abstract
We produce a partial compactification of the variety given by P(t)=NK/k( z) whose Brauer group coincides with the unramified Brauer group, where K is an \'etale k-algebra and P(t)∈ 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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