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Herr-complexes in the Lubin-Tate setting
Preprint
14 June 2020
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Abstract
In this article we extend work of Herr from the case of cyclotomic \((\varphi,\Gamma)\)-modules to the general case of Lubin-Tate \((\varphi,\Gamma)\)-modules. In particular, we define generalized \(\varphi\)- and \(\psi\)-Herr complexes, which calculate Galois cohomology, when applied to the etale \((\varphi,\Gamma)\)-modules attached to the coefficients.