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The transcendental part of higher Brauer groups in weight 2
[thesis]

2017

The classical cohomological Brauer group Br(X) = H 2 et (X, G m ) of a smooth scheme X is related to many deep questions in algebraic geometry. For example, it yields an obstruction to the Tate conjecture for X in codimension 1 and it is related to the behaviour of the zeta function of X at 1. Furthermore, in some cases, the failure of the local-global Hasse principle can be explained in terms of the Brauer group. Therefore it becomes an interesting question to attempt to actually compute

doi:10.5282/edoc.20456
fatcat:ehpyodpmvfbnhdke34l3q4alwq