Control of $$\Lambda $$ -adic Mordell–Weil Groups

DOI10.1007/978-3-319-45032-2_7zbMath1410.11089OpenAlexW2571953761MaRDI QIDQ5273373

Haruzo Hida

Publication date: 6 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45032-2_7

zbMATH Keywords

Mordell-Weil groupHecke algebramodular curveanalytic family of modular formsmodular deformationmodular Jacobian

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• Iwasawa modules attached to congruences of cusp forms
• Néron Models
• Elliptic Curves and Arithmetic Invariants
• Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication
• Modular Forms

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