Cohomology and the Brauer groups of diagonal surfaces
File(s)qua_duke.pdf (551.57 KB)
Accepted version
Author(s)
Gvirtz, Damian
Skorobogatov, Alexei
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)
Date Issued
2022-04-15
Date Acceptance
2021-03-23
Citation
Duke Mathematical Journal, 2022, 171 (6), pp.1299-1347
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
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://projecteuclid.org/journals/duke-mathematical-journal/volume-171/issue-6/Cohomology-and-the-Brauer-groups-of-diagonal-surfaces/10.1215/00127094-2021-0029.full
Grant Number
EP/M020266/1
Subjects
General Mathematics
0101 Pure Mathematics
Publication Status
Published
Date Publish Online
2022-03-30