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Timeline for descent in derived category

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Dec 15, 2013 at 17:20 comment added Jonathan Beardsley I'm not really sure. I'm still learning this stuff myself, but for some reason, I feel like your (1) should be true. Somehow, the Galois conjugates of $\mathcal{F}$ should be like twists of $\mathcal{F}$, and all of them should provide effective descent data, with the twisted $G$-action, if $\mathcal{F}$ does.
Dec 15, 2013 at 17:01 answer added abx timeline score: 3
Dec 15, 2013 at 15:01 comment added Zev Chonoles Crossposted from math.SE (math.stackexchange.com/q/607761/264) but seems appropriate here.
Dec 15, 2013 at 14:20 history asked Aleksa CC BY-SA 3.0