Timeline for When are K-automorphisms of the n-torsion of an elliptic curve E/K liftable to K-endomorphisms of E?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2013 at 9:56 | vote | accept | Stefan Keil | ||
| Nov 7, 2013 at 17:52 | answer | added | Yuri Zarhin | timeline score: 2 | |
| Nov 6, 2013 at 16:39 | comment | added | Stefan Keil | Hey Kestutis, you are of course right. I should have emphasised, that I am especially interested in the CM case. | |
| Nov 6, 2013 at 16:15 | comment | added | Kestutis Cesnavicius | Suppose in addition that $n = p$ is prime and $E$ does not have CM. Then, for large $p$, Serre's surjectivity theorem implies that $Aut_K(E[p]) = \mathbf{F}_p^*$, and consequently the answer to (this modification of) your question is 'yes'. | |
| Nov 6, 2013 at 15:18 | history | asked | Stefan Keil | CC BY-SA 3.0 |