Good reduction of the Brauer–Manin obstruction-Reference-Cited by-同舟云学术

Good reduction of the Brauer–Manin obstruction

Published:2012-09-19 Issue:2 Volume:365 Page:579-590
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Colliot-Thélène Jean-Louis,Skorobogatov Alexei

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2013-365-02/S0002-9947-2012-05556-5/S0002-9947-2012-05556-5.pdf

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