Geodesic
Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 247-263

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DOI

Let K be a complete discrete valuation field of characteristic $0$, with not necessarily perfect residue field of characteristic $p>0$. We define a Faltings extension of $\mathcal {O}_K$ over $\mathbb {Z}_p$, and we construct a Hodge-Tate filtration for abelian varieties over K by generalizing Fontaine’s construction [Fon82] where he treated the perfect residue field case.
DOI : 10.4153/S0008439520000399
Mots-clés : Hodge-Tate, Faltings extension, abelian variety, p-adic, imperfect residue field 
He, Tongmu. Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 247-263. doi: 10.4153/S0008439520000399
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     title = {Faltings extension and {Hodge-Tate} filtration for abelian varieties over p-adic local fields with imperfect residue fields},
     journal = {Canadian mathematical bulletin},
     pages = {247--263},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000399},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000399/}
}
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