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Good reduction of the Brauer–Manin obstruction

Jean-Louis Colliot-Thélène, Alexei Skorobogatov

Source record

Source: Crossref

Published: Sep 19, 2012

DOI: 10.1090/s0002-9947-2012-05556-5

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Source 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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Good reduction of the Brauer–Manin obstruction — Mathematical Frontier Network