Galois action on some ideal section points of the abelian variety associated with a modular form and its application

DOI10.1017/S0027763000020444zbMath0507.14031OpenAlexW1484330859MaRDI QIDQ4744394

Fumiyuki Momose

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020444

zbMATH Keywords

modular groupGalois actionjacobian varietyeigen new-formring of endomorphism

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Holomorphic modular forms of integral weight (11F11) Algebraic theory of abelian varieties (14K05)

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Cites Work

• On \(\ell\)-adic representations attached to modular forms
• Endomorphisms of semi-stable Abelian varieties over number fields
• Hecke operators on \(\Gamma_0(m)\)
• Class fields over real quadratic fields and Hecke operators
• On a decomposition of spaces of cusp forms and trace formula of Hecke operators
• On certain abelian varieties obtained from new forms of weight 2 on Γ₀(3⁴) and Γ₀(3⁵)
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields