Herr-complexes in the Lubin-Tate setting
In this article, we extend work of Herr from the case of cyclotomic (φ,Γ)$(\varphi ,\Gamma )$-modules to the general case of Lubin-Tate (φ,Γ)$(\varphi ,\Gamma )$-modules. In particular, we define generalized φ- and ψ-Herr complexes, which calculate Galois cohomology, when applied to the étale (φ,Γ)...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
25 March 2022
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| In: |
Mathematika
Year: 2022, Jahrgang: 68, Heft: 1, Pages: 74-147 |
| ISSN: | 2041-7942 |
| DOI: | 10.1112/mtk.12118 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1112/mtk.12118 Verlag, kostenfrei, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1112/mtk.12118 
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| Verfasserangaben: | Benjamin Kupferer, Otmar Venjakob |
| Zusammenfassung: | In this article, we extend work of Herr from the case of cyclotomic (φ,Γ)$(\varphi ,\Gamma )$-modules to the general case of Lubin-Tate (φ,Γ)$(\varphi ,\Gamma )$-modules. In particular, we define generalized φ- and ψ-Herr complexes, which calculate Galois cohomology, when applied to the étale (φ,Γ)$(\varphi ,\Gamma )$-modules attached to the coefficients. |
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| Beschreibung: | Gesehen am 01.09.2022 |
| Beschreibung: | Online Resource |
| ISSN: | 2041-7942 |
| DOI: | 10.1112/mtk.12118 |