Timeline for Iwasawa theory for Mazur's deformation ring R
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 16, 2013 at 13:22 | comment | added | Olivier | No it is not obvious. | |
| Dec 16, 2013 at 13:20 | answer | added | Olivier | timeline score: 3 | |
| Dec 16, 2013 at 11:13 | comment | added | Pierre | Olivier, you said that chief among them finiteness for the class groups. So then is it obvious that finiteness for the class groups <=> mu = 0? | |
| Dec 16, 2013 at 11:04 | comment | added | Pierre | Olivier, thanks. The book is Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs). | |
| Dec 16, 2013 at 10:53 | comment | added | Olivier | This question is quite confused (among many other things, $\bar{\rho}_{n}$ might not remain absolutely irreducible). Also, asking why an object corresponds to another is not very precise (I'm guessing that you have read this somewhere and you are trying to understand, but then you should tell us where, so that we can judge the context). That said, your $d$ is the dimension of a Galois cohomology group attached to the adjoint representation of $\bar{\rho}$, so its finiteness is related to finiteness of Selmer groups, chief among them finiteness for the class groups. | |
| Dec 16, 2013 at 10:04 | history | asked | Pierre | CC BY-SA 3.0 |