Timeline for Galois descent for K-groups (or for étale cohomology groups)
Current License: CC BY-SA 3.0
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Jun 23, 2011 at 22:01 | comment | added | John Rognes | However, you should note that $O_K \to O_F$ is only $G$-Galois if $K \to F$ is unramified. Galois descent for etale cohomology refers to Galois extensions of rings, not of their fraction fields. If you are not willing to invert the ramified primes in $O_K$, you may have to work harder. You can compare the etale cohomology localization sequence for $O_K \to K$ (with third term involving the finite residue fields) with the one for $O_F \to F$. | |
May 17, 2011 at 13:12 | vote | accept | Alex B. | ||
May 9, 2011 at 11:02 | history | answered | Alex B. | CC BY-SA 3.0 |