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

Kenichi Bannai

doi:10.1215/S0012-7094-02-11321-0

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

Kenichi Bannai

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Let E be a CM-elliptic curve over ℚ with good ordinary reduction at a prime p ≥ 5. The purpose of this paper is to construct the p-adic elliptic polylogarithm of E, following the method of A. Beǐlinson and A. Levin. Our main result is that the specializations of this object at torsion points give the special values of the one-variable p-adic L-function of the Grössencharakter associated to E.

Original language	English
Pages (from-to)	193-236
Number of pages	44
Journal	Duke Mathematical Journal
Volume	113
Issue number	2
DOIs	https://doi.org/10.1215/S0012-7094-02-11321-0
Publication status	Published - 2002 Jun 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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abstract = "Let E be a CM-elliptic curve over ℚ with good ordinary reduction at a prime p ≥ 5. The purpose of this paper is to construct the p-adic elliptic polylogarithm of E, following the method of A. Beǐlinson and A. Levin. Our main result is that the specializations of this object at torsion points give the special values of the one-variable p-adic L-function of the Gr{\"o}ssencharakter associated to E.",

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AB - Let E be a CM-elliptic curve over ℚ with good ordinary reduction at a prime p ≥ 5. The purpose of this paper is to construct the p-adic elliptic polylogarithm of E, following the method of A. Beǐlinson and A. Levin. Our main result is that the specializations of this object at torsion points give the special values of the one-variable p-adic L-function of the Grössencharakter associated to E.

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

Abstract

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