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Théorie des genres des corps globaux

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Abstract:

We establish the fundamental results of genus theory for finite (non necessary Galois) extensions of global fields by using narrow S-class groups, when S is an arbitrary finite set of places. This exposition, which involves both the number fields and the functions fields cases, generalizes most classical results on this subject.

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Authors and Affiliations

  1. Université Paul Sabatier, Laboratoire Emile Picard, U.F.R. M.I.G., 118, route de Narbonne, 31062 TOULOUSE Cedex 4, France. e-mail: angles@picard.ups-tlse.fr, , , , , , FR

    Bruno Anglès

  2. Université Bordeaux, Institut de Mathématiques, 351, cours de la Libération, 33405 Talence Cedex, France. e-mail: jaulent@math.u-bordeaux.fr, , , , , , FR

    Jean-François Jaulent

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  1. Bruno Anglès
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  2. Jean-François Jaulent
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Received: 8 February 1999 / Revised version: 17 December 1999

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Anglès, B., Jaulent, JF. Théorie des genres des corps globaux. manuscripta math. 101, 513–532 (2000). https://doi.org/10.1007/s002290050229

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  • DOI: https://doi.org/10.1007/s002290050229

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