On the Bloch-Kato conjecture for Hilbert modular forms

DOI10.1007/s00209-020-02689-0zbMath1486.11088arXiv1911.05019OpenAlexW3127210037WikidataQ123345676 ScholiaQ123345676MaRDI QIDQ2231139

Matteo Tamiozzo

Publication date: 29 September 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05019

zbMATH Keywords

Galois representation\(L\)-functionBloch-Kato conjectureShimura curveEuler systemsautomorphic formSelmer groupHilbert modular formexplicit reciprocity laws

Mathematics Subject Classification ID

Galois representations (11F80) (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 (1)

Plectic Galois action on CM points and connected components of Hilbert modular varieties

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