IWASAWA THEORY OF DE RHAM (phi, Gamma)-MODULES OVER THE ROBBA RING

Nakamura, Kentaro

Journal of the institute of mathematics of jussieu, 2014, 13(1), 65-118

Permalink : https://hdl.handle.net/2115/57802

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アクセス権	open access
URI	https://hdl.handle.net/2115/57802
タイトル	IWASAWA THEORY OF DE RHAM (phi, Gamma)-MODULES OVER THE ROBBA RING
著者	著者名 Nakamura, Kentaro
言語	英語
キーワード	p-adic Hodge theory
	(phi,Gamma)-module
	B-pair
発行日	2014-01
出版者	Cambridge univ press
収録物名	Journal of the institute of mathematics of jussieu
巻(号)	13(1)
ページ	65-118
抄録	The aim of this article is to study the Bloch-Kato exponential map and the Perrin-Riou big exponential map purely in terms of (phi, Gamma)-modules over the Robba ring. We first generalize the definition of the Bloch-Kato exponential map for all the (phi, Gamma)-modules without using Fontaine's rings B-crys, B-dR of p-adic periods, and then generalize the construction of the Perrin-Rioubig exponential map for all the de Rham (phi, Gamma)-modules and prove that this map interpolates our Bloch-Kato exponential map and the dual exponential map. Finally, we prove a theorem concerning the determinant of our big exponential map, which is a generalization of theorem delta(V) of Perrin-Riou. The key ingredients for our study are Pottharst's theory of the analytic Iwasawa cohomology and Berger's construction of p-adic differential equations associated to de Rham (phi, Gamma)-modules.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
PISSN	1474-7480
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1017/S1474748013000078