scholarly journals A note on Sen’s theory in the imperfect residue field case

2010 ◽  
Vol 269 (1-2) ◽  
pp. 261-280
Author(s):  
Shun Ohkubo
Keyword(s):  
Residue Field ◽  
Field Case

Conductors in the Non-Separable Residue Field Case

1993 ◽  
pp. 1-34 ◽  
Author(s):  
Robert Boltje ◽  
G.-Martin Cram ◽  
V. P. Snaith
Keyword(s):  
Residue Field ◽  
Field Case

scholarly journals Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields

2020 ◽  
pp. 1-17
Author(s):  
Tongmu He
Keyword(s):  
Abelian Varieties ◽  
Residue Field ◽  
Local Fields ◽  
Field Case ◽  
Residue Fields ◽  
Valuation Field

Abstract 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.

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