Geodesic
Iwasawa Theory and $F$-Analytic Lubin-Tate $(\varphi,\Gamma)$-Modules
Documenta mathematica, Tome 22 (2017), pp. 999-1030
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Let K be a finite extension of Qp. We use the theory of (φ,Γ)-modules in the Lubin-Tate setting to construct some corestriction-compatible families of classes in the cohomology of V, for certain representations V of Gal(Qˉ​/K). If in addition V is crystalline, we describe these classes explicitly using Bloch-Kato's exponential maps. This allows us to generalize Perrin-Riou's period map to the Lubin-Tate setting.
DOI : 10.4171/dm/585
Classification : 11F80, 11R23, 11S20
Mots-clés : (φ,Γ)-modules, étale, overconvergent, analytic, Lubin-Tate towers 
@article{10_4171_dm_585,
     author = {Lionel Fourquaux and Laurent Berger},
     title = {Iwasawa {Theory} and $F${-Analytic} {Lubin-Tate} $(\varphi,\Gamma)${-Modules}},
     journal = {Documenta mathematica},
     pages = {999--1030},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/585},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/585/}
}
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Lionel Fourquaux; Laurent Berger. Iwasawa Theory and $F$-Analytic Lubin-Tate $(\varphi,\Gamma)$-Modules. Documenta mathematica, Tome 22 (2017), pp. 999-1030. doi: 10.4171/dm/585

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