Timeline for Dieudonné modules over rings of charateristic zero
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2012 at 5:48 | comment | added | Alexey Zaytsev | Dear Keerthi and Mikhail, thank you very much! | |
| Oct 21, 2012 at 21:36 | comment | added | Mikhail Bondarko | The case when $R $ is an unramified extension of $\mathbb{Z}_p$ is well understood; for example, there is a book of Fontain written in 1977; a certain generalization could be found in the Brian's Conrad Compositio paper. The situation becomes more complicated when the ramification index is $\ge p-1$; then you should consider either Breuil's modules or Cartier modules. | |
| Oct 21, 2012 at 21:35 | comment | added | Keerthi Madapusi | The literature on this subject is rather vast. Some names worth checking are Fontaine, Raynaud, Zink, Breuil, Kisin, Vasiu... If $R$ is an unramified ring of integers, then the description is due to Fontaine (in terms of 'finite Honda systems'; see B. Conrad's article here: math.stanford.edu/~conrad/papers/gpscheme.pdf. For other rings of integers, there is a complete solution conjectured by Breuil and proved by Kisin in 'Moduli of finite flat group schemes and modularity'. | |
| Oct 21, 2012 at 15:36 | history | edited | Alexey Zaytsev | CC BY-SA 3.0 |
added 6 characters in body
|
| Oct 21, 2012 at 15:14 | comment | added | Alexey Zaytsev | Dear Emerton, thank you for your comment! The most interesting case for me now, when R is the ring of integers of a finite extension of $\mathbb{Q}_p$. And I would be glad to any information for a $p-$addically complete case. | |
| Oct 21, 2012 at 13:27 | comment | added | Emerton | Dear Alexey, Can you say more about $R$. For example, if the ring $R$ is the ring of integers in a finite extension of $\mathbb Q_p$, then the answer is "yes". More generally, if the ring $R$ is $p$-adically complete, you can hope to say something. Regards, | |
| Oct 21, 2012 at 13:15 | history | edited | Alexey Zaytsev | CC BY-SA 3.0 |
deleted 2 characters in body
|
| Oct 21, 2012 at 12:34 | history | edited | user9072 | CC BY-SA 3.0 |
language and "tex"/mathjax
|
| Oct 21, 2012 at 11:58 | history | asked | Alexey Zaytsev | CC BY-SA 3.0 |