Unramified Brauer groups of conic bundle threefolds in characteristic two

DOI10.1353/AJM.2021.0040zbMATH Open1484.14039arXiv1806.02668OpenAlexW3207849941MaRDI QIDQ5014719

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Publication date: 8 December 2021

Published in: (Search for Journal in Brave)

Abstract: We establish a formula for computing the unramified Brauer group of tame conic bundle threefolds in characteristic 2. The formula depends on the arrangement and residue double covers of the discriminant components, the latter being governed by Artin-Schreier theory (instead of Kummer theory in characteristic not 2). We use this to give new examples of threefold conic bundles defined over the integers that are not stably rational over the complex numbers.

Full work available at URL: https://arxiv.org/abs/1806.02668

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