Timeline for Weil pairing, fixed field of a $p$-adic Galois representation
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 16, 2013 at 6:40 | comment | added | Octobris | After going through several references, I found out that the Lefschetz isomorphism that you mentioned above seems to work only for the projective case. Would you care to tell a reference (if there is) where this has been proven in the proper case? | |
| Aug 7, 2013 at 14:01 | comment | added | Emerton | Dear Joel, The target of your pairing should be $\mathbb Q_p(n)$ (you have a typo, with $1$ in place of $n$). Cheers, | |
| Aug 7, 2013 at 13:44 | vote | accept | Octobris | ||
| Aug 7, 2013 at 13:44 | comment | added | Octobris | Thank you very much! This is quite the answer I was looking for. I was actually more interested in the the case when $i$ is odd. A colleague told me that when $i$ is odd, $K(V) \supset K(\mu_{p^\infty})$ only after a finite extension of $K$; but he can't remember the proof nor a reference that gives such a proof. | |
| Aug 7, 2013 at 13:39 | vote | accept | Octobris | ||
| Aug 7, 2013 at 13:44 | |||||
| Aug 7, 2013 at 9:54 | history | answered | Joël | CC BY-SA 3.0 |