Good reduction of the Brauer–Manin obstruction
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- by Jean-Louis Colliot-Thélène and Alexei N. Skorobogatov PDF
- Trans. Amer. Math. Soc. 365 (2013), 579-590 Request permission
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.References
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Additional Information
- Jean-Louis Colliot-Thélène
- Affiliation: CNRS, UMR 8628, Mathématiques, Bâtiment 425, Université Paris-Sud, F-91405 Orsay, France
- Email: jlct@math.u-psud.fr
- Alexei N. Skorobogatov
- Affiliation: Department of Mathematics, South Kensington Campus, Imperial College London, SW7 2BZ England, United Kingdom – and – Institute for the Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoi Karetnyi, Moscow, 127994 Russia
- MR Author ID: 218233
- Email: a.skorobogatov@imperial.ac.uk
- Received by editor(s): September 1, 2010
- Published electronically: September 19, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 579-590
- MSC (2010): Primary 14F22, 14G05, 11G35, 11G25
- DOI: https://doi.org/10.1090/S0002-9947-2012-05556-5
- MathSciNet review: 2995366