The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle

Abstract

In this paper, we describe the algebraic de Rham realization of the elliptic polylogarithm for arbitrary families of elliptic curves in terms of the Poincaré bundle. Our work builds on previous work of Scheider and generalizes results of Bannai-Kobayashi-Tsuji and Scheider. As an application, we compute the de Rham Eisenstein classes explicitly in terms of certain algebraic Eisenstein series.

arXiv comment29 pages

References in corpus (5)

• Transformation de Fourier generalisee
• On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves
• The Tamagawa number conjecture for CM elliptic curves
• The de Rham realization of the elliptic polylogarithm in families
• The syntomic realization of the elliptic polylogarithm via the Poincaré bundle