Geodesic
The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle
Documenta mathematica, Tome 24 (2019), pp. 1099-1134.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11G55, 14H52, 14F30, 11F33
Keywords: syntomic cohomology, elliptic polylogarithm, \(p\)-adic modular forms 
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     author = {Sprang, Johannes},
     title = {The {Syntomic} {Realization} of the {Elliptic} {Polylogarithm} via the {Poincar\'e} {Bundle}},
     journal = {Documenta mathematica},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a35/}
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Sprang, Johannes. The Syntomic Realization of the Elliptic Polylogarithm via the Poincaré Bundle. Documenta mathematica, Tome 24 (2019), pp. 1099-1134. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a35/