Galois cohomology of a $p$-adic field via $(Phi,Gamma)$-modules in the imperfect residue field case

Morita Kazuma

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Galois cohomology of a $p$-adic field via $(Phi,Gamma)$-modules in the imperfect residue field case

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

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Fora$p$-adiclocalfield$K$withperfectresiduefield,L.HerrconstructedacomplexwhichcomputestheGaloiscohomologyofa$p$-torsionrepresentationoftheabsoluteGaloisgroupof$K$byusingthetheoryof$(Phi,Gamma)$-modules.Weshallgeneralizehisworktotheimperfectresiduefield(theresiduefieldhasafinite$p$-basis)case.

机译：Fora $ p $ -adiclocalfield $ K $ withperfectresiduefield，L.Herr构造了一个复合物，用于计算$ a的Galoiscohomology的Galoiscohomology

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《Journal of mathematical sciences, The University of Tokyo》 |2008年第2期|共页
作者
Morita Kazuma;
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中图分类数学;
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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. Families of p-adic Galois representations and (phi, Gamma)-modules [J] . Hellmann Eugen Commentarii Mathematici Helvetici . 2016,第4期

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4. Quadratic Forms, Galois Cohomology and Function Fields of p-adic Curves [C] . V. Suresh International Congress of Mathematicians . 2010

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5. Galois module structure of Galois cohomology. [D] . Schultz, Andrew. 2007

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7. Families of p-adic Galois representations and (phi,Gamma)-modules [O] . Hellmann, Eugen 2012

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Galois cohomology of a $p$-adic field via $(Phi,Gamma)$-modules in the imperfect residue field case

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