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

Sprang, Johannes (2020) The algebraic de Rham realization of the elliptic polylogarithm via the Poincare bundle. ALGEBRA & NUMBER THEORY, 14 (3). pp. 545-585. ISSN 1937-0652, 1944-7833

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Abstract

We describe the algebraic de Rham realization of the elliptic polylogarithm for arbitrary families of elliptic curves in terms of the Poincare 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.

Item Type: Article
Uncontrolled Keywords: SERIES; Rham cohomology; polylogarithm; Eisenstein classes
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Guido Kings
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Apr 2021 06:31
Last Modified: 07 Apr 2021 06:31
URI: https://pred.uni-regensburg.de/id/eprint/45472

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