Bloch and Kato's exponential map: three explicit formulas
Number Theory
2010-02-22 v1 Algebraic Geometry
Abstract
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 (phi,Gamma)-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 Perrin-Riou's reciprocity formula.
Cite
@article{arxiv.math/0209283,
title = {Bloch and Kato's exponential map: three explicit formulas},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:math/0209283},
year = {2010}
}
Comments
22 pages, in english