Galois Cohomology of a p-adic Field via (Φ,Γ)-modules in the Imperfect Residue Field Case

Kazuma MORITA

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Galois Cohomology of a p-adic Field via (Φ,Γ)-modules in the Imperfect Residue Field Case

机译：不完全残渣场情况下通过（Φ，Γ）-模的p-adic场的Galois同调

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For a p-adic local field K with perfect residue field, L. Herr constructed a complex which computes the Galois cohomology of a p-torsion representation of the absolute Galois group of K by using the theory of (4), F)-modules. We shall generalize his work to the imperfect residue field (the residue field has a finite p-basis) case

机译：对于具有完美残差场的p-adic局部场K，L。Herr构造了一个复合体，该复合体使用（4），F）-模的理论计算K的绝对Galois群的p扭转表示的Galois同调。。我们将把他的工作推广到不完善的残差场（残差场具有有限的p基）情况

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《Journal of mathematical sciences, The University of Tokyo》 |2008年第2期|共23页
作者
Kazuma MORITA;
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正文语种 eng
中图分类数学;
关键词
Galois cohomology; (Φ; Γ)-modules.;

机译：Galois同调;（Φ;Γ）-模块。;

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专利

1. Galois Cohomology of a p-adic Field via (Φ,Γ)-modules in the Imperfect Residue Field Case [J] . Kazuma MORITA Journal of mathematical sciences, The University of Tokyo . 2008,第2期

机译：不完全残渣场情况下通过（Φ，Γ）-模的p-adic场的Galois同调
2. Galois Cohomology of a p-adic Field via (Φ,Γ)-modules in the Imperfect Residue Field Case [J] . Kazuma MORITA Journal of mathematical sciences, The University of Tokyo . 2008,第2期

机译：不完全残渣场情况下通过（Φ，Γ）-模的p-adic场的Galois同调
3. Galois cohomology of a $p$-adic field via $(Phi,Gamma)$-modules in the imperfect residue field case [J] . Morita Kazuma Journal of mathematical sciences, The University of Tokyo . 2008,第2期

机译：不完全残差场情况下通过$（Phi，Gamma）$-模块的$ p $ -adic场的Galois同调
4. Quadratic Forms, Galois Cohomology and Function Fields of p-adic Curves [C] . V. Suresh International Congress of Mathematicians . 2010

机译：二次形式，P-ADIC曲线的伽罗尼亚协作和功能领域
5. Cohomology of Towers of Discrete Subgroups in GLN over a P-Adic Field [D] . Moore, Drew. 2019

机译：P-ADIC场上GLN中离散亚组塔的协调学
6. An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields [O] . Ying Zhang, Huisheng Zhang -1

机译：Galois域上判断和生成多元二次拟群的算法
7. Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields [O] . Tongmu He 2020

机译：具有不完美残留场的P-ADIC局部亚太品种的铰接延长和霍奇·塔特过滤

Galois Cohomology of a p-adic Field via (Φ,Γ)-modules in the Imperfect Residue Field Case

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