The unramified Brauer groups of normic bundles
Algebraic Geometry
2022-11-15 v1 Number Theory
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.
Cite
@article{arxiv.2211.07054,
title = {The unramified Brauer groups of normic bundles},
author = {Dasheng Wei},
journal= {arXiv preprint arXiv:2211.07054},
year = {2022}
}
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26 pages