论文标题
$ p $ - adic领域和$(φ,τ)$的Galois共同学 - 模块
Galois cohomology of $p$-adic fields and $(φ, τ)$-modules
论文作者
论文摘要
我们构建了各种显式的HERR综合体,这些综合体计算出$ p $ ad的代表的Galois共同体,即绝对Galois组的完全离散估值$ 0 $的完美离散估值字段,具有完美的特征$ p $,使用相关$(φ,τ)$ - 模量 - 模量(由Xavier Caruso定义),代替$($),$($)。我们还向$ p $可分别的群体提供了申请。
We construct various explicit Herr complexes that compute the Galois cohomology of a $p$-adic representation of the absolute Galois group of a complete discrete valuation field of characteristic $0$ with a perfect residue field of characteristic $p$, using the associated $(φ,τ)$-modules (defined by Xavier Caruso), instead of $(φ,Γ)$-modules. We also give an application to $p$-divisible groups.