On the de Rham and $p$-adic realizations of the elliptic polylogarithm for CM elliptic curves

DOI10.24033/asens.2119zbMath1197.11073arXiv0711.1701OpenAlexW1569722589MaRDI QIDQ3569400

Takeshi Tsuji, Kenichi Bannai, Shin-ichi Kobayashi

Publication date: 21 June 2010

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1701

zbMATH Keywords

elliptic curvescomplex multiplication\(p\)-adic \(L\)-functionselliptic polylogarithms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (9)

p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas ⋮ \(p\)-adic Eisenstein-Kronecker series and non-critical values of \(p\)-adic Hecke \(L\)-function of an imaginary quadratic field when the conductor is divisible by \(p\) ⋮ The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle ⋮ The Hodge realization of the polylogarithm on the product of multiplicative groups ⋮ Overview on Elliptic Multiple Zeta Values ⋮ Algebraic theta functions and the \(p\)-adic interpolation of Eisenstein-Kronecker numbers ⋮ The syntomic realization of the elliptic polylogarithm via the Poincaré bundle ⋮ EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields

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