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Moscow Mathematical Journal, 2019, Volume 19, Number 3, Pages 549–595
DOI: https://doi.org/10.17323/1609-4514-2019-19-3-549-595 (Mi mmj746) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Models of Brauer–Severi surface bundles

Andrew Krescha, Yuri Tschinkelbc

a Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
b Courant Institute, 251 Mercer Street, New York, NY 10012, USA
c Simons Foundation, 160 Fifth Av., New York, NY 10010, USA
Full-text PDF Citations (6)
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DOI: https://doi.org/10.17323/1609-4514-2019-19-3-549-595
Abstract: We study Brauer–Severi surface bundles over smooth projective varieties via root stacks, with a view towards applications to failure of stable rationality.
Key words and phrases: Brauer–Severi surface bundles, Brauer groups, root stacks, stable rationality.
Funding agency Grant number
Swiss National Science Foundation
National Science Foundation 1601912
The first named author is supported in part by the Swiss National Science Foundation. The second named author is supported in part by NSF grant 1601912.
Bibliographic databases:
Document Type: Article
MSC: 14D06, 14D23, 14E08, 14F22
Language: English
Citation: Andrew Kresch, Yuri Tschinkel, “Models of Brauer–Severi surface bundles”, Mosc. Math. J., 19:3 (2019), 549–595
Citation in format AMSBIB
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\paper Models of Brauer--Severi surface bundles
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\pages 549--595
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  • https://www.mathnet.ru/eng/mmj/v19/i3/p549
    • This publication is cited in the following 6 articles:
    1. Andrew Kresch, Yuri Tschinkel, “Unramified Brauer group of quotient spaces by finite groups”, Journal of Algebra, 664 (2025), 75  crossref
    2. Brendan Hassett, Andrew Kresch, Yuri Tschinkel, “Stable rationality in smooth families of threefolds”, Duke Math. J., 172:6 (2023)  crossref
    3. Denis Levchenko, “Models of quadric surface bundles”, European Journal of Mathematics, 8:S2 (2022), 518  crossref
    4. A. Kresch, Yu. Tschinkel, “Brauer groups of involution surface bundles”, Pure Appl. Math. Q., 17:2, SI (2021), 649–669  crossref  mathscinet  isi
    5. Andrew Kresch, Yuri Tschinkel, “Involution surface bundles over surfaces”, Math. Z., 296:3-4 (2020), 1081  crossref
    6. Andrew Kresch, “Descent of vector bundles under wildly ramified extensions”, European Journal of Mathematics, 6:4 (2020), 1255  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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