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.
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.
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@article{CRMATH_2006__343_11-12_737_0, author = {Mohamed-Ahmed, Mohamed-Saadbouh}, title = {Endomorphism rings and isogenies classes for {Drinfeld} {\protect\emph{A}-modules} of rank 2 over finite fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {737--740}, publisher = {Elsevier}, volume = {343}, number = {11-12}, year = {2006}, doi = {10.1016/j.crma.2006.10.026}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2006.10.026/} }
TY - JOUR AU - Mohamed-Ahmed, Mohamed-Saadbouh TI - Endomorphism rings and isogenies classes for Drinfeld A-modules of rank 2 over finite fields JO - Comptes Rendus. Mathématique PY - 2006 SP - 737 EP - 740 VL - 343 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.10.026/ DO - 10.1016/j.crma.2006.10.026 LA - en ID - CRMATH_2006__343_11-12_737_0 ER -
%0 Journal Article %A Mohamed-Ahmed, Mohamed-Saadbouh %T Endomorphism rings and isogenies classes for Drinfeld A-modules of rank 2 over finite fields %J Comptes Rendus. Mathématique %D 2006 %P 737-740 %V 343 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.10.026/ %R 10.1016/j.crma.2006.10.026 %G en %F CRMATH_2006__343_11-12_737_0
Mohamed-Ahmed, Mohamed-Saadbouh. Endomorphism rings and isogenies classes for Drinfeld A-modules of rank 2 over finite fields. Comptes Rendus. Mathématique, Tome 343 (2006) no. 11-12, pp. 737-740. doi : 10.1016/j.crma.2006.10.026. http://www.numdam.org/articles/10.1016/j.crma.2006.10.026/
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