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Apr 9, 2020 at 14:44 comment added Takumi Murayama I also want to point out that the statement "normality deforms" seems to have been first proved by Seydi: see Proposition I.7.4 in "La théorie des anneaux japonais".
Apr 30, 2019 at 4:07 comment added Takumi Murayama For future readers, the reference for "F-rationality deforms" is Theorem 4.2(h) in Hochster and Huneke's "F-regularity, tight elements, and smooth base change." Note that the hypothesis there is satisfied if the F-rational local ring in question is excellent by [Kawasaki, Corollary 1.2].
Mar 6, 2017 at 4:46 comment added Mohammad Golshani @lemiller Yes, I'm interested in it. Thanks in advance.
Feb 27, 2017 at 21:18 comment added lemiller I learned this from Karl, but it was known at least since Karen's proof linking it to pseudo-rational and probably before that. If you need, I'm happy to drum up a specific reference.
Feb 25, 2017 at 2:23 history answered Neil Epstein CC BY-SA 3.0