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

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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 Grössencharakter associated to E.

Original languageEnglish
Pages (from-to)193-236
Number of pages44
JournalDuke Mathematical Journal
Volume113
Issue number2
DOIs
Publication statusPublished - 2002 Jun 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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