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Results tagged with etale-cohomology
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user 11682
for questions about etale cohomology of schemes, including foundational material and applications.
2
votes
Group cohomology of fundamental group of a curve
The best thing you could do in my opinion is to have a look at
Appendix A
Algebraic $K(\pi, 1)$ Spaces
in
Stix, Jakob
Projective anabelian curves in positive characteristic and descent theory …
- 4,008
17
votes
Accepted
Why does a group action on a scheme induce a group action on cohomology?
If a (say constant) group $G$ acts on a scheme $X$, you may want to consider the notion of a $G$-sheaf : a sheaf $\mathcal F$ endowed with isomorphisms $\lambda_g: g^* \mathcal F\simeq \mathcal F$, fo …
- 4,008
9
votes
Accepted
On a quasi-separated assumption in a lemma for the homotopy exact sequence of the etale fund...
This is more a comment than an answer: a few years back, in 2011, while working with some friends on SGA1, we also found out that we could not prove this statement without the hypothesis that $X$ is q …
- 4,008
1
vote
Weights for etale cohomology: why does Deligne's definition work?
It seems that your question is not well defined unless $K$ is finitely generated over its prime field.
See for instance
Jannsen, Uwe
Weights in arithmetic geometry.
Jpn. J. Math. 5 (2010), no. 1, 73–1 …
- 4,008