Il y a beaucoup d’analogues entre les courbes elliptiques et les groupes formels de hauteur finie. Dans cet article on utilise les groupes formels génériques de Lubin-Tate pour développer pour les points d’ordre sur un groupe formel, les idées de structure de niveau et l’accouplement déjà connus dans la théorie des courbes elliptiques.
There are many similarities between elliptic curves and formal groups of finite height. The points of order of a generic formal group are studied in order to develop the formal group analogue (applied to points of order ) of the concept of level structure and that of the -pairing known in elliptic curve theory.
@article{AIF_1988__38_4_17_0, author = {Zimmermann, Karl}, title = {Points of order $p$ of generic formal groups}, journal = {Annales de l'Institut Fourier}, pages = {17--32}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {38}, number = {4}, year = {1988}, doi = {10.5802/aif.1148}, mrnumber = {90a:14065}, zbl = {0644.14016}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1148/} }
TY - JOUR AU - Zimmermann, Karl TI - Points of order $p$ of generic formal groups JO - Annales de l'Institut Fourier PY - 1988 SP - 17 EP - 32 VL - 38 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1148/ DO - 10.5802/aif.1148 LA - en ID - AIF_1988__38_4_17_0 ER -
Zimmermann, Karl. Points of order $p$ of generic formal groups. Annales de l'Institut Fourier, Tome 38 (1988) no. 4, pp. 17-32. doi : 10.5802/aif.1148. http://archive.numdam.org/articles/10.5802/aif.1148/
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