Geodesic
The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle
Documenta mathematica, Tome 24 (2019), pp. 1099-1134
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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.
DOI : 10.4171/dm/700
Classification : 11F33, 11G55, 14F30, 14H52
Mots-clés : syntomic cohomology, elliptic polylogarithm, p-adic modular forms 
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     author = {Johannes Sprang},
     title = {The {Syntomic} {Realization} of the {Elliptic} {Polylogarithm} via the {Poincar\'e} {Bundle}},
     journal = {Documenta mathematica},
     pages = {1099--1134},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/700},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/700/}
}
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Johannes Sprang. The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle. Documenta mathematica, Tome 24 (2019), pp. 1099-1134. doi: 10.4171/dm/700

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