Note sur les diviseurs élémentaires du régulateur d'Iwasawa

2020/02/03 by Perrin-Riou, Bernadette
#11F03 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2002.00828

Abstract

The article revisits a result of Antonio Lei, David Loeffler, and Sarah Livia Zerbes concerning the structure of the image by the Iwasawa regulator map of the Iwasawa module associated with a semi-stable p-adic representation on an unramified finite extension of Q_p and give a direct proof based on the results of "Représentations p-adiques et normes universelles: I. le cas cristallin" in the crystalline case and of "Théorie d'Iwasawa des représentations p-adiques semi-stables" in the semi-stable case.

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