On the Brauer group of diagonal quartic surfaces

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.


Published in:
Journal Of The London Mathematical Society-Second Series, 83, 659-672
Year:
2011
Keywords:
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 Record created 2011-12-16, last modified 2018-01-28


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