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.
All Science Journal Classification (ASJC) codes
- General Mathematics