Herr-complexes in the Lubin-Tate setting

Abstract

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

64 pages