New answers tagged etale-cohomology
4
votes
Accepted
An etale cover of a semiperfect ring
Yes, it is true.
Definition. We say that a map $A\to B$ of (commutative) $\mathbb F_p$-algebras is relatively perfect (resp. relatively semiperfect if the relative Frobenius map $\varphi_{B/A}\colon B\...
- 1,758
6
votes
Accepted
Cohomology of Shimura varieties before and after completion at some prime
Yes, this is true. It works with arbitrary algebraic varieties, no need to be specific to Shimura varieties.
Let $X \to^{\pi} Spec(K)$ be an algebraic variety, $\mathcal{F}$ an etale sheaf on $X$, and ...
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