Kato’s Euler system

Shanwen Wang[1]

  • [1] Université Pierre et Marie Curie Institut de Mathématiques de Jussieu 4, Place Jussieu 75005 PARIS, France

Journal de Théorie des Nombres de Bordeaux (2013)

  • Volume: 25, Issue: 3, page 677-758
  • ISSN: 1246-7405

Abstract

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This article is devoted to Kato’s Euler system, which is constructed from modular units, and to its image by the dual exponential map (so-called Kato’s reciprocity law). The presentation in this article is different from Kato’s oringinal one, and the dual exponential map in this article is a modification of Colmez’s construction in his Bourbaki talk.

How to cite

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Wang, Shanwen. "Le système d’Euler de Kato." Journal de Théorie des Nombres de Bordeaux 25.3 (2013): 677-758. <http://eudml.org/doc/275729>.

@article{Wang2013,
abstract = {Ce texte est consacré au système d’Euler de Kato, construit à partir des unités modulaires, et à son image par l’application exponentielle duale (loi de réciprocité explicite de Kato). La présentation que nous en donnons est sensiblement différente de la présentation originelle de Kato.},
affiliation = {Université Pierre et Marie Curie Institut de Mathématiques de Jussieu 4, Place Jussieu 75005 PARIS, France},
author = {Wang, Shanwen},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Kato's Euler system; modular unit; reciprocity law},
language = {fre},
month = {11},
number = {3},
pages = {677-758},
publisher = {Société Arithmétique de Bordeaux},
title = {Le système d’Euler de Kato},
url = {http://eudml.org/doc/275729},
volume = {25},
year = {2013},
}

TY - JOUR
AU - Wang, Shanwen
TI - Le système d’Euler de Kato
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2013/11//
PB - Société Arithmétique de Bordeaux
VL - 25
IS - 3
SP - 677
EP - 758
AB - Ce texte est consacré au système d’Euler de Kato, construit à partir des unités modulaires, et à son image par l’application exponentielle duale (loi de réciprocité explicite de Kato). La présentation que nous en donnons est sensiblement différente de la présentation originelle de Kato.
LA - fre
KW - Kato's Euler system; modular unit; reciprocity law
UR - http://eudml.org/doc/275729
ER -

References

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