Timeline for Is there a canonical height on the Weil-Chatelet group?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2011 at 7:13 | vote | accept | JSE | ||
| Feb 3, 2011 at 12:41 | comment | added | Chris Wuthrich | @Minhyong Kim ... and imagine if that had something to do with the answer of Marty below ! | |
| Feb 3, 2011 at 9:11 | comment | added | Minhyong Kim | I don't know if it's useful, but I've tended to believe that you can define a Faltings' height. Given a torsor $T$, we would need some regular model over the ring of integers and consider its global differentials as a metrized line bundle over the ring of integers. There's no problem with the metric, but a suitable model may be a bit problematic. | |
| Feb 3, 2011 at 1:34 | answer | added | Marty | timeline score: 11 | |
| Feb 3, 2011 at 0:06 | comment | added | David Hansen | What about something like using the Weil pairing to cup two things in the $H^1$ and get an element of the Brauer group, then play with the local invariants? | |
| Feb 2, 2011 at 23:51 | history | asked | JSE | CC BY-SA 2.5 |