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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.
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
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