Timeline for Does torsor of an elliptic curve extend to torsor of its Neron model?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2019 at 8:57 | vote | accept | CommunityBot | ||
| Nov 3, 2019 at 5:28 | comment | added | Aaron Landesman | This is not really a concrete example, but the condition of an $E$ torsor $X$ extending to a $\mathscr E$ torsor is equivalent to whether $X$ has any points over the fraction field of the strict henselization of R. See Neron Models, by Bosch, Lütkebohmert, and Raynaud, section 6.5, Corollaries 3 and 4 and the intervening discussion. No good reduction hypotheses are needed. So, any torsor which is nontrivial over the fraction field of the strict henselization gives an example, and conversely all examples must be of this form. | |
| Nov 2, 2019 at 22:36 | answer | added | Ariyan Javanpeykar | timeline score: 4 | |
| Nov 1, 2019 at 1:00 | history | edited | user39380 | CC BY-SA 4.0 |
added 100 characters in body
|
| Oct 31, 2019 at 23:26 | comment | added | user39380 | @anon The smooth one? | |
| Oct 31, 2019 at 18:08 | comment | added | anon | Which Neron model? The smooth, but not necessarily proper, one, or the proper regular, but not necessarily smooth, one. | |
| Oct 31, 2019 at 16:21 | history | asked | user39380 | CC BY-SA 4.0 |