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- W329009470 abstract "Soit X le demi-plan de Poincare $$ X = { z in mathbb{C}|Im(z) > 0} . $$Le groupe SL(2, ℝ) agit sur X par transformations homographiques $$ z mapsto frac{{az + b}} {{cz + d}}. $$Si Γ est un sous-groupe de SL(2, ℤ,) defini par des conditions de congruence, la surface de Riemann X/Γ est le complement d’un ensemble fini de points («a l’infini») dans une surface de Riemann compacte. C’est donc une courbe algebrique. Ses points sont en correspondance bijective avec les classes d’isomorphic de courbes elliptiques munies d’une «structure de niveau» d’espece convenable. On sait qu’il resulte de cette interpretation qu’elle admet pour corps de definition un sous-corps d’un corps cyclotomique. Dans cet article, nous etudions la structure a l’infini et la reduction modulo p de X/Γ." @default.
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- W329009470 date "1973-01-01" @default.
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- W329009470 title "Les Schémas de Modules de Courbes Elliptiques" @default.
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- W329009470 doi "https://doi.org/10.1007/978-3-540-37855-6_4" @default.
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