### Th'eorie d'Iwasawa et loi explicite de r'eciprocit'e, by Bernadette Perrin-Riou

Abstract: This paper has now appeared in Doc. Math. 4 (1999),
215-269, and so the preprint has been removed. Let $V$ be a crystalline
$p$-adic
representation of the
absolute Galois group of $\Q_p$. The author has built the Iwasawa theory
of such
a representation in
Invent. Math (1994) and conjectured a reciprocity
law which has been proved by P. Colmez. In this text, we write the
initial
construction with
simplification and the proof of P. Colmez in a different langage. This
point of
view will allow us to
study the universal norms in the geometric cohomology classes
associated to $V$
by
Bloch and Kato in a forthcoming article.

Bernadette Perrin-Riou <bpr@geo.math.u-psud.fr>