2 1 Se p 20 02 BLOCH AND KATO ’ S EXPONENTIAL MAP : THREE EXPLICIT FORMULAS
نویسنده
چکیده
— The purpose of this article is to give formulas for Bloch-Kato’s exponential map and its dual for an absolutely crystalline p-adic representation V , in terms of the (φ,Γ)module associated to that representation. As a corollary of these computations, we can give a very simple (and slightly improved) description of Perrin-Riou’s exponential map (which interpolates Bloch-Kato’s exponentials for V (k)). This new description directly implies PerrinRiou’s reciprocity formula.
منابع مشابه
Bloch and Kato ’ s Exponential Map : Three Explicit Formulas
The purpose of this article is to give formulas for BlochKato’s exponential map and its dual for an absolutely crystalline padic representation V , in terms of the (φ,Γ)-module associated to V . As a corollary of these computations, we can give a very simple and slightly improved description of Perrin-Riou’s exponential map, which interpolates Bloch-Kato’s exponentials for the twists of V . Thi...
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