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Principe de Hasse cohomologique

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Séminaire de Théorie des Nombres, Paris, 1989–90

Part of the book series: Progress in Mathematics ((PM,volume 102))

Résumé

Le principe de Hasse (ou principe local-global) qui nous intéresse ici a pour modèle le théorème de Brauer-Hasse-Noether disant que l’application \(Br(K) \to \mathop \oplus \limits_v {B_r}({K_v})\) est injective pour tout corps de nombres K. Ici, Br(F), pour un corps F, désigne le groupe de Brauer, classifiant les algèbres à division sur F (ou, encore, les algèbres centrales simples sur F),v parcourt l’ensemble des places de K, K v est le complété de K en v, et l’application est induite par les restrictions.

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Author notes

  1. Uwe Jannsen

    Present address: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 5000, Köln 41, Germany

Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, 5300, Bonn 3, Germany

    Uwe Jannsen

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  1. Uwe Jannsen
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Editors and Affiliations

  1. Département de Mathématiques, Université de Paris-Sud, Centre d’Orsay, F-91405, Orsay Cedex, France

    Sinnou David

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© 1992 Springer Science+Business Media New York

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Jannsen, U. (1992). Principe de Hasse cohomologique. In: David, S. (eds) Séminaire de Théorie des Nombres, Paris, 1989–90. Progress in Mathematics, vol 102. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-4269-5_10

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  • DOI: https://doi.org/10.1007/978-1-4757-4269-5_10

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-4270-1

  • Online ISBN: 978-1-4757-4269-5

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