The Eisenstein descent on \(J_ 0(N)\)

DOI10.1007/BF01388965zbMath0594.14027MaRDI QIDQ1076756

Jonathan Lubin, Gross, Benedict H.

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143314

zbMATH Keywords

Heegner pointsdescentEisenstein-quotient ofEisenstein-quotient of Jacobian of modular curveJacobian of the modular curverank of an abelian variety

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Arithmetic ground fields for abelian varieties (14K15) Automorphic forms, one variable (11F12) Global ground fields in algebraic geometry (14G25)

Related Items (2)

A modular construction of unramified 𝑝-extensions of ℚ(ℕ^{1/𝕡}) ⋮ Arithmetic of elliptic curves and diophantine equations

Cites Work

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• Arithmetic on elliptic curves with complex multiplication. II
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• Modular curves and the Eisenstein ideal
• Gauss sums and the p-adic \(\Gamma\)-function
• Good reduction of abelian varieties
• Local Euler characteristics
• Galois properties of points of finite order of elliptic curves
• The Cuspidal Group and Special Values of L-Functions
• Canonical Subgroups of Formal Groups
• Onp-adicL-functions and cyclotomic fields. II
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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