Timeline for $(\varphi, \Gamma)$-module of dimension 2 modulo $p$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 27, 2013 at 10:27 | vote | accept | user33624 | ||
| Aug 27, 2013 at 6:31 | comment | added | Laurent Berger | "Finite height" does mean that in some basis, there are no denominators. This does not imply the same property holds in your favorite basis :) | |
| Aug 26, 2013 at 10:10 | comment | added | user33624 | Thanks for the reference. I am a little bit confused though. If $V$ is an extension of $1$ by $\chi_p$, then it is always the reduction of a crystalline representation (if the extension is très ramifié one can choose the weights to be 0 and p). But a crystalline representation is of finite height so the matrices of the action of $\varphi$ and $\gamma$ should not have denominators. What am I missing here ? | |
| Aug 26, 2013 at 8:26 | history | answered | Laurent Berger | CC BY-SA 3.0 |