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Unramified Brauer groups of conic bundle threefolds in characteristic two
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Auel, Asher, Bigazzi, Alessandro, Boehning, Christian and Graf von Bothmer, Hans-Christian (2020) Unramified Brauer groups of conic bundle threefolds in characteristic two. American Journal of Mathematics, 29 . pp. 285-327. doi:10.1090/jag/743 ISSN 0002-9327.
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Official URL: https://doi.org/10.1090/jag/743
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.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | American Journal of Mathematics | ||||||
Publisher: | The Johns Hopkins University Press | ||||||
ISSN: | 0002-9327 | ||||||
Official Date: | 22 October 2020 | ||||||
Dates: |
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Volume: | 29 | ||||||
Page Range: | pp. 285-327 | ||||||
DOI: | 10.1090/jag/743 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | This article appeared in the American Journal of Mathematics, Volume 29, Year, pages 285-327, Copyright © year, Johns Hopkins University Press. | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 9 November 2020 | ||||||
Date of first compliant Open Access: | 2 September 2021 | ||||||
Related URLs: | |||||||
Open Access Version: |
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