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arXiv:1905.11869 [math.AG]AbstractReferencesReviewsResources

Cohomology and the Brauer groups of diagonal surfaces

Damián Gvirtz, Alexei N. Skorobogatov

Published 2019-05-28Version 1

We present a method for calculating the Brauer group of a surface given by a diagonal equation in the projective space. For diagonal quartic surfaces with coefficients in Q we determine the Brauer groups over Q and Q(i).

Comments: 36 pages. Appendices A and B containing results of computer computations can be found in the full version of the paper, available at http://wwwf.imperial.ac.uk/~anskor/publ.htm
Categories: math.AG
Subjects: 14F22, 14Q10
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