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May 18, 2018 at 6:04 comment added Jana @LaurentMoret-Bailly Thank you for the answer.
May 17, 2018 at 16:50 comment added Laurent Moret-Bailly The reference is EGA IV, $\S8$ (especially section 8.5, especially Theorem 8.5.2). Perfectness of $K$ and smoothness of $X$ are irrelevant.
May 17, 2018 at 16:33 history edited Jana CC BY-SA 4.0
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May 17, 2018 at 15:00 history asked Jana CC BY-SA 4.0