$p$-adic heights of Heegner points and $\Lambda $-adic regulators

DOI10.1090/S0025-5718-2014-02876-7zbMath1316.11116OpenAlexW1529759001MaRDI QIDQ5496220

Jennifer S. Balakrishnan, William A. Stein, Mirela Ciperiani

Publication date: 30 January 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02876-7

zbMATH Keywords

elliptic curveHeegner points\(p\)-adic heights

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Algebraic number theory computations (11Y40) Heights (11G50)

Related Items

On 3-adic heights on elliptic curves

Uses Software

• PARI/GP
• SageMath

Cites Work

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• Heegner points and derivatives of \(L\)-series
• Mazur's conjecture on higher Heegner points.
• The \(p\)-adic sigma function
• Special values of anticyclotomic \(L\)-functions.
• Computation of \(p\)-adic heights and log convergence
• Efficient Computation of p-Adic Heights
• Global divisibility of Heegner points and Tamagawa numbers
• Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
• ON ${p}$-ADIC HEIGHTS IN FAMILIES OF ELLIPTIC CURVES
• The Iwasawa theoretic Gross–Zagier theorem
• Number Theory