Iwasawa theory and \(p\)-adic heights
type: Item
instance of: scholarly article
title: Iwasawa theory and \(p\)-adic heights
zbMATH Open document ID: 0781.14013
DOI: 10.1007/BF01232022
author: Bernadette Perrin-Riou
published in: Inventiones Mathematicae
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/144016
review text: \textit{S. Bloch} and \textit{K. Kato} [Grothendieck Festschrift, Vol. 1, Prog. Math. 86, 333--400 (1990; Zbl 0768.14001)] have defined the conjectural formulas for the values of \(L\)-functions attached to the motivic cohomologies of algebraic varieties. The author develops a \(p\)-adic version of this construction theory in the spirit of the Iwasawa theory.
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 14G40
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11G50
zbMATH DE Number: 126374
zbMATH Keywords: \(p\)-adic height
zbMATH Keywords: \(L\)-functions
zbMATH Keywords: motivic cohomologies
zbMATH Keywords: Iwasawa theory
reviewed by: A. N. Parshin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126374