Sprang, Johannes

The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle

Doc. Math. 24, 1099-1134 (2019)
DOI: 10.25537/dm.2019v24.1099-1134
Communicated by Otmar Venjakob


We give an explicit description of the syntomic elliptic polylogarithm on the universal elliptic curve over the ordinary locus of the modular curve in terms of certain \(p\)-adic analytic moment functions associated to Katz' two-variable \(p\)-adic Eisenstein measure. The present work generalizes previous results of Bannai-Kobayashi-Tsuji and Bannai-Kings on the syntomic Eisenstein classes.

Mathematics Subject Classification

11G55, 14H52, 14F30, 11F33


syntomic cohomology, elliptic polylogarithm, \(p\)-adic modular forms


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Sprang, Johannes
Faculty of Mathematics, University of Regensburg, 93040 Regensburg, Germany