Good reduction of the Brauer-Manin obstruction

2010/09/01 by Colliot-Thélène, J. -L., Skorobogatov, A. N. · 1 citation
#11G25 #11G35 #14F22 #14G05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.0247

Abstract

For a smooth and projective variety over a number field with torsion free geometric Picard group and finite transcendental Brauer group we show that only the archimedean places, the primes of bad reduction and the primes dividing the order of the transcendental Brauer group can turn up in the description of the Brauer-Manin set.

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