Geodesic
Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals
Documenta mathematica, Tome 26 (2021), pp. 1771-1798
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We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.
DOI : 10.4171/dm/855
Classification : 11F80, 11S37
Mots-clés : p-adic Hodge, prisms 
@article{10_4171_dm_855,
     author = {Zhiyou Wu},
     title = {Galois representations, $(\varphi, \Gamma)$-modules and prismatic {F-crystals}},
     journal = {Documenta mathematica},
     pages = {1771--1798},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/855},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/855/}
}
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%A Zhiyou Wu
%T Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals
%J Documenta mathematica
%D 2021
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Zhiyou Wu. Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals. Documenta mathematica, Tome 26 (2021), pp. 1771-1798. doi: 10.4171/dm/855

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