Brauer-Manin obstructions requiring arbitrarily many Brauer classes

Published 12 Sep 2023 in math.NT and math.AG | (2309.05931v1)

Abstract: On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show that this subgroup can require arbitrarily many generators.

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