查看文章

The purpose of this article is to give formulas for Bloch-Kato’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. This new description directly implies Perrin-Riou’s reciprocity formula.