Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez

  • Bernadette Perrin-Riou

    Mathématiques, Bhatat 425 Université Paris-Sud F-91405 Orsay Cedex France
Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez cover
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Abstract

Let be a crystalline -adic representation of the absolute Galois group of . 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 by Bloch and Kato in a forthcoming article.

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Bernadette Perrin-Riou, Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez. Doc. Math. 4 (1999), pp. 219–273

DOI 10.4171/DM/60