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Herr-complexes in the Lubin-Tate setting

2020/06/14 by Kupferer, Benjamin, Venjakob, Otmar
#11S25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2006.07895

Abstract

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

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