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A constructive approach to a conjecture by Voskresenskii
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Florence, Mathieu and van Garrel, Michel (2017) A constructive approach to a conjecture by Voskresenskii. Selecta Mathematica, New Series, 23 (4). pp. 2899-2906. doi:10.1007/s00029-017-0330-x ISSN 1022-1824.
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Official URL: https://doi.org/10.1007/s00029-017-0330-x
Abstract
Voskresenskii conjectured that stably rational tori are rational. Klyachko proved this assertion for a wide class of tori by general principles. We re-prove Klyachko’s result by providing simple explicit birational isomorphisms, and elaborate on some links to torus-based cryptography.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Linear algebraic groups, Algebraic fields, Toric varieties | ||||||
Journal or Publication Title: | Selecta Mathematica, New Series | ||||||
Publisher: | Birkhauser Verlag AG | ||||||
ISSN: | 1022-1824 | ||||||
Official Date: | October 2017 | ||||||
Dates: |
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Volume: | 23 | ||||||
Number: | 4 | ||||||
Page Range: | pp. 2899-2906 | ||||||
DOI: | 10.1007/s00029-017-0330-x | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Copyright Holders: | © Springer International Publishing 2017 | ||||||
Date of first compliant deposit: | 16 October 2019 | ||||||
Date of first compliant Open Access: | 16 October 2019 | ||||||
RIOXX Funder/Project Grant: |
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