Anticyclotomic Iwasawa's main conjecture for Hilbert modular forms

DOI10.4171/CMH/255zbMath1306.11087OpenAlexW2079571699WikidataQ122962276 ScholiaQ122962276MaRDI QIDQ424806

Matteo Longo

Publication date: 5 June 2012

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/255

zbMATH Keywords

Hilbert modular formsanticyclotomic Iwasawa main conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) (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 (9)

THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS ⋮ A refined Beilinson–Bloch conjecture for motives of modular forms ⋮ Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma ⋮ Some remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplication ⋮ On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights ⋮ Ihara's lemma for Shimura curves over totally real fields via patching ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case ⋮ Euler system obtained from congruences between Hilbert modular forms

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