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.
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.
@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},
year = {1988},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {38},
number = {4},
doi = {10.5802/aif.1148},
mrnumber = {90a:14065},
zbl = {0644.14016},
language = {en},
url = {https://www.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 - https://www.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
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