The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle

  • Johannes Sprang

    Faculty of Mathematics, University of Regensburg, 93040 Regensburg, Germany
The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle cover
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Abstract

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 -adic analytic moment functions associated to Katz' two-variable -adic Eisenstein measure. The present work generalizes previous results of Bannai-Kobayashi-Tsuji and Bannai-Kings on the syntomic Eisenstein classes.

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Johannes Sprang, The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle. Doc. Math. 24 (2019), pp. 1099–1134

DOI 10.4171/DM/700