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arXiv · 2511.13986

Théorie locale du corps de classes et $(φ,Γ)$-modules Lubin-Tate

Pierre Colmez
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Abstract

We show how to deduce the determination of the maximal abelian extension of $F$, with $[F:{\mathbf Q}_p]<\infty$, from the theory of Lubin-Tate $(φ,Γ)$-modules.

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Pierre Colmez. 2026-08-07. Théorie locale du corps de classes et $(φ,Γ)$-modules Lubin-Tate. https://arxiv.org/abs/2511.13986

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