On the \(p\)-adic realization of elliptic polylogarithms for CM-elliptic curves

DOI10.1215/S0012-7094-02-11321-0zbMath1019.11018OpenAlexW2089117223MaRDI QIDQ1847927

Kenichi Bannai

Publication date: 27 October 2002

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-02-11321-0

zbMATH Keywords

polylogarithmelliptic curvesyntomic cohomology\(p\)-adic fieldslogarithmic sheaf

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30) Elliptic curves over local fields (11G07)

Related Items (2)

p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas ⋮ Algebraic theta functions and the \(p\)-adic interpolation of Eisenstein-Kronecker numbers

Cites Work

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