Degeneration of l - adic Eisenstein classes and ofthe elliptic
نویسنده
چکیده
Contents 0 Notations and conventions 5 1 The Eisenstein symbol and the cup product construction 6
منابع مشابه
p-ADIC ELLIPTIC POLYLOGARITHM, p-ADIC EISENSTEIN SERIES AND KATZ MEASURE
The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realizations of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein-Kronecker series, which are p-adic modular forms defined using the two-...
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The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using ...
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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 elliptic curve has complex multiplication and good reduction at p, then the specializations to torsion points of the p-adic elliptic polylogarithm are related to p-adic Eisenstein-Kronecker numbers, proving a p-adic ...
متن کاملON THE REAL HODGE AND p-ADIC REALIZATIONS OF THE ELLIPTIC POLYLOGARITHM FOR CM ELLIPTIC CURVES
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متن کاملp-ADIC EISENSTEIN-KRONECKER FUNCTIONS AND THE ELLIPTIC POLYLOGARITHM FOR CM ELLIPTIC CURVES
In this paper, we construct p-adic analogues of the Kronecker double series, which we call the Eisenstein-Kronecker series, as Coleman functions on an elliptic curve with complex multiplication. We then show that the periods of the specialization of the p-adic elliptic polylogarithm sheaf to arbitrary non-zero points of the elliptic curve may be expressed using these functions.
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تاریخ انتشار 1999