Timeline for Uniqueness of finite flat models over bases of low ramification via Breuil-Kisin modules
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2017 at 4:57 | vote | accept | Lisa S. | ||
| Mar 3, 2017 at 4:27 | answer | added | D. Savitt | timeline score: 3 | |
| Feb 28, 2017 at 22:59 | comment | added | nfdc23 | Have you tried writing to the author of that paper? He should be able to provide a more apt reference (if one exists) or argument. | |
| Feb 28, 2017 at 0:39 | comment | added | Lisa S. | Thank you for your comment. I've looked at the paper you mention, but it wasn't clear to me how to use it to answer the question (especially, since the paper deals with the formalism of Breuil modules, not Breuil-Kisin modules, although, I presume, the distinction is minor for the purposes of my question). | |
| Feb 27, 2017 at 6:04 | comment | added | nfdc23 | Any such reproof would rest on a vastly more difficult foundation than Raynaud's proof, so it wouldn't be "simple" in the end compared to Raynaud's proof (but would give another perspective, to be sure). That isn't to say it isn't an instructive example to think through, but (as you may know) the real significance of the B-K formalism in practice is with the cases $e \ge p$. Have you tried to do it yourself using the description of Raynaud's "$F$-vector schemes of rank 1" via Breuil modules in section 2 of math.jhu.edu/~savitt/papers/pdfs/appendix-final.pdf? | |
| Feb 27, 2017 at 5:05 | history | asked | Lisa S. | CC BY-SA 3.0 |