Comptes Rendus
Algebraic Geometry
Endomorphism rings and isogenies classes for Drinfeld A-modules of rank 2 over finite fields
Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 737-740.

For a Drinfeld module of rank 2, we discuss many analogy points with elliptic curves. More precisely, we study the characteristic polynomial of a Drinfeld module of rank 2 and use it to calculate the number of isogeny classes for such modules.

Pour un module de Drinfeld de rang 2, on étudie plusieurs points d'analogie avec les courbes elliptiques. Plus précisément, on étudie la charactéristique polynômiale d'un module de Drinfeld de rang 2 et en l'utilisant, on calcule le nombre de classes d'isogénies d'un module de Drinfeld de rang 2 sur un corps fini.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.10.026

Mohamed-Saadbouh Mohamed-Ahmed 1

1 Département de mathématiques, université du Maine, avenue Olivier-Messiaen, 72085 Le Mans cedex 9, France
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Mohamed-Saadbouh Mohamed-Ahmed. Endomorphism rings and isogenies classes for Drinfeld A-modules of rank 2 over finite fields. Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 737-740. doi : 10.1016/j.crma.2006.10.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.10.026/

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