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Apr 6, 2023 at 8:06 comment added Satan's Minion @David Loeffler: Yes, there are general comparison theorems of Huber which give this easily. And I said "for instance" because I am well aware there are other references for this...
Apr 6, 2023 at 4:07 comment added Oli Gregory @DavidLoeffler Just to answer the question in your comment: the etale cohomology of $X$ and its rigid-analytification do indeed agree in this case. See $\S7$ of de Jong and van der Put’s 1995 Documenta paper.
Apr 5, 2023 at 21:47 comment added David Loeffler @Satan'sMinion The link you give is for rigid-analytic spaces, not algebraic varieties. Are the $p$-adic etale cohomology of $X$ and its rigid analytification the same? In any case the result for open algebraic varieties long pre-dates that reference, see this 2011 paper of Beilinson: arxiv.org/pdf/1102.1294.pdf,
Apr 5, 2023 at 17:04 comment added Satan's Minion Yes, see for instance arxiv.org/abs/1801.01779
Apr 5, 2023 at 16:51 history edited Martin Sleziak CC BY-SA 4.0
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Apr 5, 2023 at 16:48 comment added Jason Starr Are you asking whether or not some other publication or announcement on this topic has appeared?
Apr 5, 2023 at 16:33 history asked OOOOOO CC BY-SA 4.0