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arXiv · 2211.07054

The unramified Brauer groups of normic bundles

Dasheng Wei
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Abstract

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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Dasheng Wei. 2022-11-14. The unramified Brauer groups of normic bundles. https://arxiv.org/abs/2211.07054

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