论文标题
多变量$（φ，γ）$ - GALOIS组产品的模块和表示：不完美的残留场。
Multivariable $(φ,Γ)$-modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field
论文作者
论文摘要
让$ k $成为一个完全离散价值的字段，具有混合特性$（0，p）$和不完美的残留域$ k_k $。令$δ$为有限的集合。我们构建了有限维度$ \ bbb {f} _p $ - 代表$δ$副本的$ k $ $ k $ copies of $ k $的$Δ$副本与多变量\'etale $（φ，γ）$ - laurent laurent系列$ k__ $ y $ k_ $。
Let $K$ be a complete discretely valued field with mixed characteristic $(0, p)$ and imperfect residue field $k_K$. Let $Δ$ be a finite set. We construct an equivalence of categories between finite dimensional $\Bbb{F}_p$-representations of the product of $Δ$ copies of the absolute Galois group of $K$ and multivariable \' etale $(φ, Γ)$-modules over a multivariable Laurent series ring over $k_K$.
