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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
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 | ||||||||
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| 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: |
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| 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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