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

Tongmu He

doi:10.4153/S0008439520000399

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

Tongmu He

Research output: Contribution to journal › Article › peer-review

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Abstract

Let K be a complete discrete valuation field of characteristic, with not necessarily perfect residue field of characteristic 0$ ]]>. We define a Faltings extension of over, 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.

Original language	English (US)
Pages (from-to)	247-263
Number of pages	17
Journal	Canadian Mathematical Bulletin
Volume	64
Issue number	2
DOIs	https://doi.org/10.4153/S0008439520000399
State	Published - Jun 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

AMS subject classification 14F30 14G20 14K15

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10.4153/S0008439520000399

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abstract = "Let K be a complete discrete valuation field of characteristic, with not necessarily perfect residue field of characteristic 0$ ]]>. We define a Faltings extension of over, 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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year = "2021",

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doi = "10.4153/S0008439520000399",

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N2 - Let K be a complete discrete valuation field of characteristic, with not necessarily perfect residue field of characteristic 0$ ]]>. We define a Faltings extension of over, 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.

AB - Let K be a complete discrete valuation field of characteristic, with not necessarily perfect residue field of characteristic 0$ ]]>. We define a Faltings extension of over, 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.

KW - AMS subject classification 14F30 14G20 14K15

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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