Timeline for Integral models of p-adic representations
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 11, 2010 at 0:58 | answer | added | Alex B. | timeline score: 2 | |
| Oct 11, 2010 at 0:44 | comment | added | BCnrd | Presumably over $K$ you mean "reduction modulo $\pi$" (for a uniformizer $\pi$ of $O_K$) rather than "reduction modulo $p$". Anyway, "semi-simple" for modules $M$ over a ring $R$ admitting a "nontrivial" ideal theory is not a good notion: there are $R$-submodules $I M$ for an ideal $I$ of $R$ (preserved by all $R$-linear automorphisms of $M$). One exercise-level result is that if the reduction is irreducible then integral model is unique up to $K^{\times}$-scaling. Do you have specific "properties of all integral models" in mind? That would clarify the motivation. | |
| Oct 11, 2010 at 0:40 | answer | added | Emerton | timeline score: 4 | |
| Oct 11, 2010 at 0:13 | history | asked | Ben | CC BY-SA 2.5 |