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Cohomology and the Brauer groups of diagonal surfaces

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Title: Cohomology and the Brauer groups of diagonal surfaces
Authors: Gvirtz, D
Skorobogatov, A
Item Type: Journal Article
Abstract: We present a method for calculating the Brauer group of a surface given by a diagonal equation in projective space. For diagonal quartic surfaces with coefficients in Q we determine the Brauer groups over Q and Q(i)
Issue Date: 15-Apr-2022
Date of Acceptance: 23-Mar-2021
URI: http://hdl.handle.net/10044/1/89835
DOI: 10.1215/00127094-2021-0029
ISSN: 0012-7094
Publisher: Duke University Press
Start Page: 1299
End Page: 1347
Journal / Book Title: Duke Mathematical Journal
Volume: 171
Issue: 6
Copyright Statement: © 2022.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/M020266/1
Keywords: General Mathematics
0101 Pure Mathematics
Publication Status: Published
Online Publication Date: 2022-03-30
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences
Mathematics