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Results tagged with etale-cohomology
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user 43054
for questions about etale cohomology of schemes, including foundational material and applications.
3
votes
Accepted
Hochschild-Serre filtration and etale cohomology
Every time there is a spectral sequence, it is usually coming from a filtration. In this case it is coming from a filtration of the chain complex $C^*(X_k;F):=R\Gamma(X_k;F)$. The idea behind it, is t …
- 16.5k
18
votes
Steenrod operations in etale cohomology?
Your first map fits in an action of the Steenrod algebra.
In fact $H^*_{ét}(X;\mathbb{F}_2)$ is the homology of $C^*_{ét}(X;\mathbb{F}_2)=R\Gamma(X;\mathbb{F}_2)$, an element of the derived category …
- 16.5k