Une loi de réciprocité explicite pour le polylogarithme elliptique

2013/12/06 by Francesco Lemma, Shanwen Wang, Lemma, Francesco +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1312.1853

openalex publication_date 2013/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a dual exponential map which relates the p-adic Eisenstein classes to Eisenstein series. From this map, we deduce a compatibility between the p-adic realization and the de Rham realization of the torsion sections of the elliptic polylogarithm prosheaf.

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