Timeline for On a Theorem of Fontaine
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 12, 2012 at 16:35 | vote | accept | Saikat Biswas | ||
| May 4, 2011 at 19:56 | vote | accept | Saikat Biswas | ||
| Aug 12, 2012 at 16:35 | |||||
| May 4, 2011 at 19:56 | vote | accept | Saikat Biswas | ||
| May 4, 2011 at 19:56 | |||||
| May 4, 2011 at 4:44 | vote | accept | Saikat Biswas | ||
| May 4, 2011 at 19:56 | |||||
| May 4, 2011 at 4:40 | answer | added | Keerthi Madapusi | timeline score: 7 | |
| May 4, 2011 at 4:19 | comment | added | Saikat Biswas | Is it possible for you to move your responses to the 'Answer' section? | |
| May 4, 2011 at 4:12 | comment | added | Keerthi Madapusi | The precise result is Corollaire 3.3.6. | |
| May 4, 2011 at 4:03 | comment | added | Keerthi Madapusi | Yes, he's considering finite flat group schemes over such $R$. What he shows is that, with this restriction on ramification, the functor sending a finite flat group scheme over $R$ to its generic fiber is fully faithful. When the order is prime-to-$p$, this is easy, because then the group scheme is necessarily etale. So the content of the result is for the $p$-primary part. Here's a link to the paper: archive.numdam.org/article/BSMF_1974__102__241_0.pdf | |
| May 4, 2011 at 3:37 | comment | added | Saikat Biswas | Thank you for your response. I'm not familiar with Raynaud's main result, but I'm guessing from the title that he considers $p$-primary group schemes over such $R$? | |
| May 4, 2011 at 3:11 | comment | added | Keerthi Madapusi | The answer is: this is true if $R$ is a complete DVR in mixed characteristic with absolute ramification index $e<p-1$ (where $p$ is the residue characteristic). This is the main result of Raynaud's (p,...,p) paper. | |
| May 4, 2011 at 2:50 | history | edited | Saikat Biswas | CC BY-SA 3.0 |
added 100 characters in body
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| May 4, 2011 at 1:58 | history | edited | Saikat Biswas | CC BY-SA 3.0 |
modified last sentence
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| May 3, 2011 at 7:51 | answer | added | JBorger | timeline score: 12 | |
| May 3, 2011 at 4:51 | history | asked | Saikat Biswas | CC BY-SA 3.0 |