Herr-complexes in the Lubin-Tate setting

preprint2020arXivOpen access

Abstract

In this article we extend work of Herr from the case of cyclotomic (φ,Γ)(φ,Γ)-modules to the general case of Lubin-Tate (φ,Γ)(φ,Γ)-modules. In particular, we define generalized φφ- and ψψ-Herr complexes, which calculate Galois cohomology, when applied to the etale (φ,Γ)(φ,Γ)-modules attached to the coefficients.

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