Geodesic
Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez
Documenta mathematica, Tome 4 (1999), pp. 219-273
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Let V be a crystalline p-adic representation of the absolute Galois group of Qp​. 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.
DOI : 10.4171/dm/60
Classification : 11E95, 11R23
Mots-clés : Iwasawa theory, p-adic representation, exponential, reciprocity law 
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     author = {Bernadette Perrin-Riou},
     title = {Iwasawa theory and explicit reciprocity law. {A} remake of an article of {P.} {Colmez}},
     journal = {Documenta mathematica},
     pages = {219--273},
     year = {1999},
     volume = {4},
     doi = {10.4171/dm/60},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/60/}
}
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Bernadette Perrin-Riou. Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez. Documenta mathematica, Tome 4 (1999), pp. 219-273. doi: 10.4171/dm/60

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