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Results tagged with etale-cohomology
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user 13647
for questions about etale cohomology of schemes, including foundational material and applications.
10
votes
Accepted
When is "independence of l" known?
So maybe everything I'm about to say you already know, so apologies if I'm teaching my grandmother to suck eggs.
This is discussed a bit at the end of a paper of Fontaine "Representations $\ell$-adiq …
- 1,838
7
votes
1
answer
1k
views
"Weight-monodromy" for open varieties
Suppose that $X/\mathbb{Q}_p$ is a smooth, projective variety, and choose a prime $\ell\neq p$. Then the weight-monodromy conjecture says that the graded pieces $\mathrm{Gr}_k^M$ of the monodromy filt …
- 1,838
4
votes
2
answers
1k
views
Pullbacks of intermediate/middle extensions and Gabber's purity theorem
I am currently trying to understand intermediate extensions of perverse sheaves, specifically the proof of Gabber's purity theorem, which states that the intermediate extension of a pure perverse shea …
- 1,838