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Jan 2 at 3:46 comment added stupid_question_bot @Z.M Oops, sorry, my mistake. Deleting my comments!
Jan 1 at 12:11 comment added Z. M @stupid_question_bot But the quoted definition tests regularity only after base change to an algebraic closure. I guess that the situation is similar to stacks.math.columbia.edu/tag/038X
Jan 1 at 11:54 comment added Z. M @stupid_question_bot I am probably mistaken, but this definition seems to coincide with the usual definition: as you said, this definition works in the case that the base field $k$ is perfect, but the general case follows from the flat descent of smoothness along $k\to\bar k$.
Jan 1 at 10:59 comment added BernyPiffaro @stupid_question_bot I am using Qing Liu's definitions and it is not required to work on a perfect field.
Jan 1 at 10:10 history edited Daniele Tampieri CC BY-SA 4.0
Minor Math Jaxing
Dec 31, 2023 at 15:19 review Close votes
Jan 5 at 3:06
Dec 31, 2023 at 15:12 history edited BernyPiffaro CC BY-SA 4.0
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Dec 31, 2023 at 14:43 history edited BernyPiffaro CC BY-SA 4.0
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Dec 31, 2023 at 14:37 history asked BernyPiffaro CC BY-SA 4.0