Tamely ramified Hida theory

Goldberger, Assaf; Shalit, Ehud de

Tamely ramified Hida theory
[Théorie de Hida modérément ramifiée]

Annales de l'Institut Fourier, Tome 52 (2002), p. 1-45 / Harvested from Numdam

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Résumé
Abstract

Soit $J_{1}$ la variété jacobienne de la courbe modulaire associée à $Γ_{1} (N p), (N, p) = 1$ et soit $J_{0}$ l’autre variété associée à $Γ_{1} (N) \cap Γ_{0} (p)$ . Nous étudions $J_{1} [p - 1]$ comme un module de Hecke et de Galois. On trouve une relation entre une matrice de périodes $p$ -adiques et la variation infinitésimale de l’opérateur $U_{p}$ .

Let $J_{1}$ be the Jacobian of the modular curve associated with $Γ_{1} (N p), (p, N) = 1$ and $J_{0}$ the one associated with $Γ_{1} (N) \cap Γ_{0} (p)$ . We study $J_{1} [p - 1]$ as a Hecke and Galois-module. We relate a certain matrix of $p$ -adic periods to the infinitesimal deformation of the $U_{p}$ -operator.

Publié le : 2002-01-01

MR 1881569 | Zbl 1048.11043

DOI : https://doi.org/10.5802/aif.1875
Classification: 11F85
Mots clés: courbe modulaire, périodes

p

-adiques, opérateurs de Hecke

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     title = {Tamely ramified Hida theory},
     journal = {Annales de l'Institut Fourier},
     volume = {52},
     year = {2002},
     pages = {1-45},
     doi = {10.5802/aif.1875},
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     zbl = {1048.11043},
     language = {en},
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Goldberger, Assaf; Shalit, Ehud de. Tamely ramified Hida theory. Annales de l'Institut Fourier, Tome 52 (2002) pp. 1-45. doi : 10.5802/aif.1875. http://gdmltest.u-ga.fr/item/AIF_2002__52_1_1_0/

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