Geodesic
Théorie d'Iwasawa et loi explicite de réciprocité. Un remake d'un article de P. Colmez.
Documenta mathematica, Tome 4 (1999), pp. 219-273.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 language. 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.
Classification : 11E95, 11R23
Keywords: $p$-adic representation, Iwasawa theory, exponential, reciprocity law 
@article{DOCMA_1999__4__a11,
     author = {Perrin-Riou, Bernadette},
     title = {Th\'eorie {d'Iwasawa} et loi explicite de r\'eciprocit\'e. {Un} remake d'un article de {P.} {Colmez.}},
     journal = {Documenta mathematica},
     pages = {219--273},
     publisher = {mathdoc},
     volume = {4},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1999__4__a11/}
}
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Perrin-Riou, Bernadette. Théorie d'Iwasawa et loi explicite de réciprocité. Un remake d'un article de P. Colmez.. Documenta mathematica, Tome 4 (1999), pp. 219-273. http://geodesic.mathdoc.fr/item/DOCMA_1999__4__a11/