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 ISSN 1073-7928.

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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:	Date Event February 2021 Published 31 July 2019 Available 21 June 2019 Accepted
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
Date of first compliant deposit:	24 June 2019
Date of first compliant Open Access:	31 July 2020
Related URLs:	Publisher

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