@quid I had a quick look at migration agreement, and I did not find there something confirming to which extent MO is "autonomous".

But there might be some (perhaps informal) agreements I am unaware of.

So I guess your comment is probably right and my answer is probably incorrect.

As soon as this is confirmed by a MO mod, I will remove that answer.

Anyway, I think that it would be good to have some "official answer" in that question. (So that in the future people who want complain about suspensions can see that answer and what the correct procedure is.)

As I thought that it works here as on other MO sites, I posted an answer linking meta.SO thread about this that I was able to locate. (Perhaps there can be found more about this on meta.SO.)

I was probably too hasty with answering this - an answer from a MO mod or a more senior member would bear more authority.

@MartinSleziak it might well be that nothing on this is in the formal agreement, however I believe this was agreed upon informally. I am not certain though either. I think your answer is certainly helpful. Perhaps it is correct perhaps it is not, but in any case it should be helpful to establish this.

but in any case it should be helpful to establish this. I certainly agree with that.

We will see what the mods say. (Some of them, especially from the old moderator team, have probably more information about the agreement between MO and SE than most of regular users.)

@MartinSleziak I am not sure why you deleted your answer? The comment by a moderator contained a double negation "not inappropriate"perhaps you just read over this, and the way the phrase continues suggests the email is just another possibility.

You're right.

Sorry for the confusion and das ganze Hin und Her. (I am not sure what the English phrase is.)

@FrançoisG.Dorais I have undeleted my answer again. I am not sure whether you received ping from my (now deleted) comment. But in any case, you can simply ignore it. See above for an explanation why I have deleted and then undeleted my answer.

There is a map from global extension data to local extensions via completions at primes: $$ (M/N,{\frak P\mid p})\mapsto M_{\frak P}/N_{\frak p}.$$ I am curious about the reverse. Suppose $L/K$ is local extension with $N\subset K$ global (that is, finite over the prime field). What corresponding $N,M$s are there sitting inside $L$? That is, what does

$$\left\{M/N~\left|~ \begin{array}{l} N\subset K, M\subset L \\ [M:N]=[L:K] \\ {\frak O}_L\cap M={\frak O}_M \\ {\frak m}_L\cap M={\frak P}\mid\frak p \end{array}\right.\right\}$$ look like? (Probably only a fraction of the conditions on the right are necessary to define this set but I think this illustrates the desired situation well.)

Disregard the "with $N\subset K$ global," the original version of the problem in my head had $N$ fixed. Also the purpose of the following comment is to reduce the space taken on the starboard in the other room I'm in.

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