Companion forms and the structure ofp-adic Hecke algebras

DOI10.1515/crll.2005.2005.585.141zbMath1081.11035arXivmath/0403428OpenAlexW2006151692MaRDI QIDQ5314165

Masami Ohta

Publication date: 5 September 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403428

zbMATH Keywords

Hecke algebrasHida theorycompanion forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items (8)

Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties ⋮ Iwasawa theory and the Eisenstein ideal ⋮ 𝑅=𝑇 theorems for weight one modular forms ⋮ Ordinary pseudorepresentations and modular forms ⋮ A reciprocity map and the two-variable \(p\)-adic \(L\)-function ⋮ Congruences with Eisenstein series and -invariants ⋮ The Eisenstein ideal with squarefree level ⋮ Hida duality and the Iwasawa main conjecture

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