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Modules de Drinfeld de rang 2 sur un corps Fini

Abstract : The core of this thesis is the structure of Drinfeld Modules. This notion was introduced by Drinfeld in 1973, as "elleptic modules". These algebraic objects are the analog of elleptic curves on both of the field of numbers and the finite fields, given by the reduction modulo non-archimedian place. The arithmetical study of such objets becomes legitim, motivated by the arithmeticsofthecurvesdefinedonafinite fields and initiated by Artin, Hasse and Weil. In this direction, we extend this analogy for Drinfeld modules of rank two, in fact we give one analog of Weil theorem, Deuring-Waterhouse theorem, and the work of S.Vladut for the cyclicity of such algebraic structure.
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Contributor : Mohamed Saadbouh Mohamed Ahmed <>
Submitted on : Sunday, August 22, 2004 - 10:55:19 PM
Last modification on : Tuesday, March 31, 2020 - 3:21:01 PM
Long-term archiving on: : Friday, April 2, 2010 - 8:48:12 PM


  • HAL Id : tel-00006727, version 1


Mohamed Saadbouh Mohamed Ahmed. Modules de Drinfeld de rang 2 sur un corps Fini. Mathématiques [math]. Université de la Méditerranée - Aix-Marseille II, 2004. Français. ⟨tel-00006727⟩



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