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Oct 9, 2021 at 14:29 vote accept Hajime_Saito
Oct 9, 2021 at 14:20 answer added Donu Arapura timeline score: 3
Oct 8, 2021 at 13:39 comment added A User Indeed the spectral sequence is the Hochschild-Serre spectral sequence for a finite Galois covering. See Milne, Etale Cohomology, III, 2.20.
Oct 8, 2021 at 12:26 comment added Donu Arapura I'm leaving this as a comment, because I haven't checked any of this. If $X\to Y$ is etale and Galois group $G$, then there should be a spectral sequence $H^p(G, H^q(X_{et}, \mathbb{G}_m))\Rightarrow H^{p+q}(Y_{et}, \mathbb{G}_m))$. Look at the terms of low degree.
Oct 8, 2021 at 10:44 history asked Hajime_Saito CC BY-SA 4.0