Euler system obtained from congruences between Hilbert modular forms

zbMath1234.11149MaRDI QIDQ957941

Matteo Longo

Publication date: 1 December 2008

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108723

zbMATH Keywords

Shimura curveEuler systemIwasawa main conjectureHilbert modular formGalois representation Selmer groupmodular Abelian variety

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

A refined Beilinson–Bloch conjecture for motives of modular forms ⋮ On the Bloch-Kato conjecture for Hilbert modular forms

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