Geodesic
The Emerton–Gee stack of rank one $(\varphi,\Gamma)$-modules
Documenta mathematica, Tome 29 (2024) no. 3, pp. 733-746

Voir la notice de l'article provenant de la source EMS Press

We give a classification of rank one (φ,Γ)-modules with coefficients in a p-adically complete Zp​-algebra. As a consequence, we obtain a new proof of the explicit description of the Emerton–Gee stack of (φ,Γ)-modules in the rank one case. In fact, our method also applies in the context of rank one étale φ-modules (i.e. in the absence of a Γ-action), generalizing another result of Emerton–Gee.
DOI : 10.4171/dm/947
Classification : 14D23, 11F80
Mots-clés : rank one, (φ,Γ)-modules, stacks 
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     title = {The {Emerton{\textendash}Gee} stack of rank one $(\varphi,\Gamma)$-modules},
     journal = {Documenta mathematica},
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     year = {2024},
     doi = {10.4171/dm/947},
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Dat Pham. The Emerton–Gee stack of rank one $(\varphi,\Gamma)$-modules. Documenta mathematica, Tome 29 (2024) no. 3, pp. 733-746. doi: 10.4171/dm/947

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