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Results tagged with galois-cohomology
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user 6074
4
votes
Accepted
Galois cohomology of separable closure
Yes, they are known: They vanish in degrees $i>0$, and for $i=0$ one gets the completed perfection of $K$.
Indeed, let $K'$ be the completed perfection of $K$. Then $G_K=G_{K'}$ as both perfection and …
- 21.3k
22
votes
p-adic Hodge theory for varieties defined over \C _p ?
In general, you cannot expect that for a proper smooth scheme $X$ over $\mathbb{C}_p$, you have a canonical decomposition
$$
H^i_{\mathrm{\acute{e}t}}(X)\otimes \mathbb{C}_p\cong \bigoplus_j H^{i-j}( …
- 21.3k