论文标题
Abelian品种超过$ p $ ad的本地田地，拖延和杂货店过滤，残留物。
Faltings extension and Hodge-Tate filtration for abelian varieties over $p$-adic local fields with imperfect residue fields
论文作者
论文摘要
令$ k $为特征$ 0 $的完整离散估值字段，不一定是特征$ p> 0 $的完美残留物。我们定义了$ \ mathcal {o} _k $在$ \ mathbb {z} _p $上的faltings扩展，我们通过在1981年概括了fontaine的构造，在$ k $上构建了一个hodge-tate过滤，以便在1981年概括了Fontaine的构造，他在那里处理了完美的残留物野外案例。
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 in 1981, where he treated the perfect residue field case.
