Opérateurs de Hecke pour Γ 0 (N) et fractions continues
Merel, Loïc
Annales de l'Institut Fourier, Tome 41 (1991), p. 519-537 / Harvested from Numdam
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Nous rappelons que Manin décrit l’homologie singulière relative aux pointes de la courbe modulaire X 0 (N) comme un quotient du groupe Z (P 1 (Z/NZ)) . En s’appuyant sur des techniques de fractions continues, nous donnons une expression indépendante de N d’un relèvement de l’action des opérateurs de Hecke de H 1 (X 0 (N),ptes,Z) sur Z (P 1 (Z/NZ)) .

We recall that Manin describes the singular homology relative to the cusps of the modular curve X 0 (N) as a quotient of the group Z (P 1 (Z/NZ)) . Using continued fractions techniques, we give an expression, which is independant of N, of a lift of Hecke operators from H 1 (X 0 (N),cusps,Z) to Z (P 1 (Z/NZ)) 

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     author = {Merel, Lo\"\i c},
     title = {Op\'erateurs de Hecke pour $\Gamma \_0(N)$ et fractions continues},
     journal = {Annales de l'Institut Fourier},
     volume = {41},
     year = {1991},
     pages = {519-537},
     doi = {10.5802/aif.1264},
     mrnumber = {92k:11047},
     zbl = {0727.11020},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_1991__41_3_519_0}
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Merel, Loïc. Opérateurs de Hecke pour $\Gamma _0(N)$ et fractions continues. Annales de l'Institut Fourier, Tome 41 (1991) pp. 519-537. doi : 10.5802/aif.1264. http://gdmltest.u-ga.fr/item/AIF_1991__41_3_519_0/

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