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May 6, 2022 at 19:22 comment added Z. M There is an ambiguity: what is the completion $A_{\mathfrak p}$? There are two possibilities: either take the $\mathfrak p$-adic completion, or first localize at $\mathfrak p$ then complete the local ring. It seems that A.G's answer is taking the former, but the later seems more reasonable. If you take the later, you could start with a local domain, and ask whether it is some sort of intersection of the completion and its fraction field?
May 6, 2022 at 14:22 history edited Hair80 CC BY-SA 4.0
deleted 28 characters in body
May 6, 2022 at 13:32 answer added A.G timeline score: 1
May 6, 2022 at 10:06 comment added LSpice TeX note: use $\operatorname{Spec} A$ $\operatorname{Spec} A$, not $Spec$ $A$ $Spec$ $A$. I have edited accordingly.
May 6, 2022 at 10:06 history edited LSpice CC BY-SA 4.0
Capitalise title; `\operatorname{Spec}`
May 6, 2022 at 7:28 history asked Hair80 CC BY-SA 4.0