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Feb 25, 2017 at 2:23 answer added Neil Epstein timeline score: 1
Feb 24, 2017 at 16:09 history edited Mohammad Golshani CC BY-SA 3.0
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Feb 24, 2017 at 16:06 comment added Mohammad Golshani Please add your answer, any helps are appreciated.
Feb 23, 2017 at 22:15 answer added lemiller timeline score: 3
Feb 23, 2017 at 16:49 comment added Neil Epstein There are many papers in the tight closure literature about which F-singularities 'deform': let P be a singularity property. We say that P "deforms" if whenever you have a nice enough local ring R and R-regular element $t\in R$, if $R/tR$ satisfies P then $R$ satisfies $P$. For instance, normality deforms (classically), F-regularity does not in general (cf. Singh) but it does in the Gorenstein case (aberbach et al). F-purity doesn't (Fedder), F-injectivity deforms under some conditions on local cohomology (Horiuchi-Miller-Shimomoto). Not sure about f-rationality. Shall I post as an answer?
Feb 23, 2017 at 11:14 history asked Mohammad Golshani CC BY-SA 3.0