Timeline for Finitely generated modules over Noetherian local ring that become isomorphic after faithfully flat base change
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 14, 2021 at 13:10 | comment | added | Johan | Related with same answer is mathoverflow.net/questions/278815/… | |
| Aug 12, 2021 at 20:31 | comment | added | abx | A reference: EGA IV.2, Prop. 2.5.8. | |
| Aug 12, 2021 at 19:45 | answer | added | Johan | timeline score: 4 | |
| Aug 12, 2021 at 17:47 | comment | added | Anonymous | If $R \to S$ is finite flat, then I believe the claim is true and follows from Krull-Schmidt. You can also assume $R$ is complete by your second paragraph. By a slicing argument, this ought to imply the case when $S$ has a point over $\mathfrak{m}$ with finite residue field extension (since then $R \to S$ can be refined by a finite flat map by a suitable slice). Perhaps one can reduce to this case by some clever approximation argument? Sorry for the not fully formed argument... | |
| Aug 12, 2021 at 17:35 | history | edited | Neil Strickland | CC BY-SA 4.0 |
Spelling
|
| Aug 12, 2021 at 17:11 | review | First posts | |||
| Aug 12, 2021 at 17:45 | |||||
| Aug 12, 2021 at 17:04 | history | asked | user337580 | CC BY-SA 4.0 |