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2020 The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle
Johannes Sprang
Algebra Number Theory 14(3): 545-585 (2020). DOI: 10.2140/ant.2020.14.545

Abstract

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 and Tsuji, and Scheider. As an application, we compute the de Rham–Eisenstein classes explicitly in terms of certain algebraic Eisenstein series.

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Johannes Sprang. "The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle." Algebra Number Theory 14 (3) 545 - 585, 2020. https://doi.org/10.2140/ant.2020.14.545

Information

Received: 26 February 2018; Revised: 25 June 2019; Accepted: 8 November 2019; Published: 2020
First available in Project Euclid: 2 July 2020

MathSciNet: MR4113775
Digital Object Identifier: 10.2140/ant.2020.14.545

Subjects:
Primary: 11G55
Secondary: 14H52

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2020
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