The syntomic realization of the elliptic polylogarithm via the Poincar\'e bundle
Number Theory
2019-12-20 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1802.04999,
title = {The syntomic realization of the elliptic polylogarithm via the Poincar\'e bundle},
author = {Johannes Sprang},
journal= {arXiv preprint arXiv:1802.04999},
year = {2019}
}
Comments
27 pages; builds upon arxiv 1801.05677