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March 2014 A note on Fontaine theory using different Lubin-Tate groups
Bruno Chiarellotto, Francesco Esposito
Kodai Math. J. 37(1): 196-211 (March 2014). DOI: 10.2996/kmj/1396008255

Abstract

The starting point of Fontaine theory is the possibility of translating the study of a p-adic representation of the absolute Galois group of a finite extension K of Qp into the investigation of a (φ, Γ)-module. This is done by decomposing the Galois group along a totally ramified extension of K, via the theory of the field of norms: the extension used is obtained by means of the cyclotomic tower which, in turn, is associated to the multiplicative Lubin-Tate group. It is known that one can insert different Lubin-Tate groups into the "Fontaine theory" machine to obtain equivalences with new categories of (φ, Γ)-modules (here φ may be iterated). This article uses only (φ, Γ)-theoretical terms to compare the different (φ, Γ) modules arising from various Lubin-Tate groups.

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Bruno Chiarellotto. Francesco Esposito. "A note on Fontaine theory using different Lubin-Tate groups." Kodai Math. J. 37 (1) 196 - 211, March 2014. https://doi.org/10.2996/kmj/1396008255

Information

Published: March 2014
First available in Project Euclid: 28 March 2014

zbMATH: 1373.11043
MathSciNet: MR3189521
Digital Object Identifier: 10.2996/kmj/1396008255

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics

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Vol.37 • No. 1 • March 2014
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