no. 1
Tamely ramified Hida theory
[Théorie de Hida modérément ramifiée]
Goldberger, Assaf1 ; Shalit, Ehud de2
1 University of Massachussetts, Department of Mathematics, Amherst MA (USA)
2 Hebrew University, Institute of Mathematics, Giv'at-Ram 91904 Jerusalem (Israël)
Annales de l'Institut Fourier, Tome 52 (2002) no. 1, pp. 1-45

Let J 1 be the Jacobian of the modular curve associated with Γ 1 (Np),(p,N)=1 and J 0 the one associated with Γ 1 (N)∩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.

Soit J 1 la variété jacobienne de la courbe modulaire associée à Γ 1 (Np),(N,p)=1 et soit J 0 l’autre variété associée à Γ 1 (N)∩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 .

DOI : 10.5802/aif.1875
Classification : 11F85
Keywords: modular curve, $p$-adic periods, Hecke operators
Mots-clés : courbe modulaire, périodes $p$-adiques, opérateurs de Hecke

Goldberger, Assaf 1 ; Shalit, Ehud de 2

1 University of Massachussetts, Department of Mathematics, Amherst MA (USA)
2 Hebrew University, Institute of Mathematics, Giv'at-Ram 91904 Jerusalem (Israël) 
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Goldberger, Assaf; Shalit, Ehud de. Tamely ramified Hida theory. Annales de l'Institut Fourier, Tome 52 (2002) no. 1, pp. 1-45. doi: 10.5802/aif.1875

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