Loading...
research article
On the Brauer group of diagonal quartic surfaces
Ieronymou, Evis
•
Skorobogatov, Alexei N.
•
Zarhin, Yuri G.
We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over Q to be algebraic. We also give an upper bound for the order of the quotient of the Brauer group of D by the image of the Brauer group of Q. The proof is based on the isomorphism of the Fermat quartic surface with a Kummer surface due to Mizukami.
Use this identifier to reference this record
Type
research article
Web of Science ID
WOS:000290859300007
Authors
Ieronymou, Evis
•
Skorobogatov, Alexei N.
•
Zarhin, Yuri G.
Publication date
2011
Volume
83
Start page
659
End page
672
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011