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Universal triviality of the Chow group of 0-cycles and the Brauer group

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Auel, Asher, Bigazzi, Alessandro, Boehning, Christian and Graf von Bothmer, Hans-Christian (2021) Universal triviality of the Chow group of 0-cycles and the Brauer group. International Mathematics Research Notices, 2021 (4). pp. 2479-2496. doi:10.1093/imrn/rnz171

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Official URL: https://doi.org/10.1093/imrn/rnz171

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Abstract

We prove that a smooth proper universally CH0-trivial variety X over a field k has universally trivial Brauer group. This fills a gap in the literature concerning the p-torsion of the Brauer group when k has characteristic p⁠.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: International Mathematics Research Notices
Publisher: Oxford University Press
ISSN: 1073-7928
Official Date: February 2021
Dates:
DateEvent
February 2021Published
31 July 2019Available
21 June 2019Accepted
Volume: 2021
Number: 4
Page Range: pp. 2479-2496
DOI: 10.1093/imrn/rnz171
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Asher Auel, Alessandro Bigazzi, Christian Böhning, Hans-Christian Graf von Bothmer, Universal Triviality of the Chow Group of 0-cycles and the Brauer Group, International Mathematics Research Notices, , rnz171, is available online at: https://doi.org/10.1093/imrn/rnz171
Access rights to Published version: Restricted or Subscription Access
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