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arXiv · 1211.4431

Multivariable Lubin-Tate (ϕ,Γ)-modules and filtered ϕ-modules

Laurent Berger
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Abstract

We define some rings of power series in several variables, that are attached to a Lubin-Tate formal module. We then give some examples of (ϕ,Γ)-modules over those rings. They are the global sections of some reflexive sheaves on the p-adic open unit polydisk, that are constructed from a filtered ϕ-module using a modification process. We prove that we obtain every crystalline (ϕ,Γ)-module over those rings in this way.

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Laurent Berger. 2013-04-19. Multivariable Lubin-Tate (ϕ,Γ)-modules and filtered ϕ-modules. https://arxiv.org/abs/1211.4431

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