We recall that Manin describes the singular homology relative to the cusps of the modular curve as a quotient of the group . Using continued fractions techniques, we give an expression, which is independant of , of a lift of Hecke operators from to
Nous rappelons que Manin décrit l’homologie singulière relative aux pointes de la courbe modulaire comme un quotient du groupe . En s’appuyant sur des techniques de fractions continues, nous donnons une expression indépendante de d’un relèvement de l’action des opérateurs de Hecke de sur .
@article{AIF_1991__41_3_519_0, author = {Merel, Lo{\"\i}c}, title = {Op\'erateurs de {Hecke} pour $\Gamma _0(N)$ et fractions continues}, journal = {Annales de l'Institut Fourier}, pages = {519--537}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {41}, number = {3}, year = {1991}, doi = {10.5802/aif.1264}, mrnumber = {92k:11047}, zbl = {0727.11020}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.1264/} }
TY - JOUR AU - Merel, Loïc TI - Opérateurs de Hecke pour $\Gamma _0(N)$ et fractions continues JO - Annales de l'Institut Fourier PY - 1991 SP - 519 EP - 537 VL - 41 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1264/ DO - 10.5802/aif.1264 LA - fr ID - AIF_1991__41_3_519_0 ER -
Merel, Loïc. Opérateurs de Hecke pour $\Gamma _0(N)$ et fractions continues. Annales de l'Institut Fourier, Volume 41 (1991) no. 3, pp. 519-537. doi : 10.5802/aif.1264. http://www.numdam.org/articles/10.5802/aif.1264/
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