The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle
Johannes SprangFaculty of Mathematics, University of Regensburg, 93040 Regensburg, Germany
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.
Cite this article
Johannes Sprang, The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle. Doc. Math. 24 (2019), pp. 1099–1134DOI 10.4171/DM/700