Geodesic
Lattices in Crystalline Representations and Kisin Modules Associated with Iterate Extensions
Documenta mathematica, Tome 23 (2018), pp. 497-541
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Cais and Liu extended the theory of Kisin modules and crystalline representations to allow more general coefficient fields and lifts of Frobenius. Based on their theory, we classify lattices in crystalline representations by Kisin modules with additional structures under a Cais-Liu's setting. Furthermore, we give a geometric interpretation of Kisin modules of height one in terms of Dieudonné crystals of p-divisible groups, and show a full faithfulness theorem for a restriction functor on torsion crystalline representations.
DOI : 10.4171/dm/625
Classification : 11F85, 11S20
Mots-clés : crystalline representations, Kisin modules, iterate extensions 
@article{10_4171_dm_625,
     author = {Yoshiyasu Ozeki},
     title = {Lattices in {Crystalline} {Representations} and {Kisin} {Modules} {Associated} with {Iterate} {Extensions}},
     journal = {Documenta mathematica},
     pages = {497--541},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/625},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/625/}
}
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Yoshiyasu Ozeki. Lattices in Crystalline Representations and Kisin Modules Associated with Iterate Extensions. Documenta mathematica, Tome 23 (2018), pp. 497-541. doi: 10.4171/dm/625

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