On the Brauer group of diagonal quartic surfaces
Date
2011Source
Journal of the London Mathematical SocietyVolume
83Issue
3Pages
659-672Google Scholar check
Metadata
Show full item recordAbstract
We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over 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. © 2011 London Mathematical Society.