Timeline for If M is not a free A-module, can tensoring with a bigger field make it free?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 19, 2013 at 23:58 | vote | accept | Joshua Batson | ||
| Jan 15, 2013 at 4:17 | answer | added | Mariano Suárez-Álvarez | timeline score: 3 | |
| Jan 15, 2013 at 4:14 | answer | added | Steven Landsburg | timeline score: 8 | |
| Jan 15, 2013 at 4:12 | answer | added | user30180 | timeline score: 12 | |
| Jan 15, 2013 at 3:19 | comment | added | Daniel Litt | (And in my comment, there should be a hypothesis that $M$ is finitely generated.) | |
| Jan 15, 2013 at 3:18 | comment | added | Daniel Litt | In your situation, $A$ is local--thus the result holds as projectivity descends through faithfully flat base change. I don't know about the general situation. | |
| Jan 15, 2013 at 2:59 | comment | added | Joshua Batson | @Mariano: I'll certainly outline my proof, I just wanted to see if there was a simple trick (which would be great), or a more general framework, which I would indicate. If my hands-on way is the only way, then I'll give more details than if there is another reference. | |
| Jan 15, 2013 at 2:55 | comment | added | Mariano Suárez-Álvarez | if you don't know how to prove it, one can guess the reader of your paper might also have a little trouble and then providing a proof would be nice to her! | |
| Jan 15, 2013 at 2:00 | history | asked | Joshua Batson | CC BY-SA 3.0 |