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math.NT2020★ 7 cited
Generalised representations as q-connections in integral -adic Hodge theory
Matthew Morrow, Takeshi Tsuji
We relate various approaches to coefficient systems in relative integral -adic Hodge theory, working in the geometric context over the ring of integers of a perfectoid field. Th…
math.NT2007★ 19 cited
On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves
Kenichi Bannai, Shinichi Kobayashi, Takeshi Tsuji
In this paper, we give an explicit description of the de Rham and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the…