Un sous-groupe $p$-divisible de la jacobienne de $X_1(N p_r)$ comme module sur l'algèbre de Hecke

DOI10.24033/bsmf.2081zbMath0677.14006OpenAlexW2581564884MaRDI QIDQ3832684

Jacques Tilouine

Publication date: 1987

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1987__115__329_0

zbMATH Keywords

Hecke algebramodular curveIwasawa algebrap-divisible part of the Jacobian

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Holomorphic modular forms of integral weight (11F11)

Related Items (12)

Unnamed Item ⋮ Stable lattices in modular Galois representations and Hida deformation ⋮ A \(p\)-adic measure attached to the zeta functions associated with two elliptic modular forms. II ⋮ Unnamed Item ⋮ A reciprocity map and the two-variable \(p\)-adic \(L\)-function ⋮ On the anticyclotomic main conjecture ⋮ Galois representations, Kähler differentials and ``main conjectures ⋮ The geometry of Hida families II: -adic -modules and -adic Hodge theory ⋮ Adjoint Selmer groups as Iwasawa modules ⋮ Control theorem for Greenberg's Selmer groups of Galois deformations. ⋮ Congruence modules related to Eisenstein series ⋮ The geometry of Hida families I: \(\Lambda\)-adic de Rham cohomology

Cites Work

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• On congruence divisors of cusp forms as factors of the special values of their zeta functions
• Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• Modular curves and the Eisenstein ideal
• Newforms and functional equations
• On the eigenvalues of Hecke operators
• Hecke operators on \(\Gamma_0(m)\)
• Spécialisation du foncteur de Picard
• Class fields over real quadratic fields and Hecke operators
• Kroneckerian Model of Fields of Elliptic Modular Functions
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Iwasawa modules attached to congruences of cusp forms
• Modular Forms and ℓ-Adic Representations

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