Odd order Brauer-Manin obstruction on diagonal quartic surfaces
File(s)diag5.pdf (338.02 KB)
Accepted version
Author(s)
Ieronymou, E
Skorobogatov, AN
Type
Journal Article
Abstract
We determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation but never the Hasse principle.
Date Issued
2014-11-18
Date Acceptance
2014-11-03
Citation
Advances in Mathematics, 2014, 270, pp.181-205
ISSN
1090-2082
Publisher
Elsevier
Start Page
181
End Page
205
Journal / Book Title
Advances in Mathematics
Volume
270
Copyright Statement
© 2014, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Science & Technology
Physical Sciences
Mathematics
K3 surfaces
Brauer group
Brauer-Manin obstruction
Rational points
K3 SURFACES
Publication Status
Published