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

• Published in: Canadian mathematical bulletin Vol. 64; no. 2; pp. 247 - 263
• Main Author: He, Tongmu
• Format: Journal Article
• Language: English
• Published: Canada Canadian Mathematical Society 01.06.2021; Cambridge University Press
• Subjects: Algebra; Decomposition; Filtration; Residues; Valuation; imperfect residue field; Hodge-Tate; 14K15; 14G20; 14F30; p-adic; Faltings extension; abelian variety

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...