Timeline for Reference request for the theory of heights over function fields
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 24, 2013 at 8:58 | vote | accept | Damian Rössler | ||
| Jan 23, 2013 at 13:50 | comment | added | Damian Rössler | @ACL. Thank you for your comment. Could you tell me where to look in Chatzidakis-Hrushovski ? | |
| Jan 23, 2013 at 13:49 | comment | added | Damian Rössler | @Felipe Voloch. Thank you for pointing the book of Buium. I also think that that is the place to look (but I couldn't find it either...). | |
| Jan 21, 2013 at 22:27 | comment | added | ACL | Hi Damian. Things are slightly more complicated. What you get via Hilbert schemes is a variety defined over the constant field which dominates (generically finitely to one) your given variety. But in characteristic $p$, Moret-Bailly constructed (in Séminaire sur les pinceaux de courbes de genre au moins 2) an Abelian surface which is isogeneous to a constant one, but not constant... The paper of Chatzidakis and Hrushovski does something in this direction, but at in a birational setting. | |
| Jan 21, 2013 at 20:40 | answer | added | Joe Silverman | timeline score: 5 | |
| Jan 21, 2013 at 19:11 | comment | added | Felipe Voloch | I thought this statement (for an arbitrary constant field) could be found in Buium's book "Differential algebra and diophantine geometry" but I just looked and can't find the statement. | |
| Jan 21, 2013 at 16:48 | answer | added | Xander Faber | timeline score: 5 | |
| Nov 11, 2012 at 12:48 | comment | added | Damian Rössler | @Ulrich: I also thought about that but couldn't find anything. Thank you for the suggestion. It is a good idea to ask Szpiro. | |
| Nov 11, 2012 at 11:20 | comment | added | naf | I think such questions have been studied by people working in arithmetic dynamics, though I could not find a precise reference. Lucien Szpiro might be a good person to ask. | |
| Nov 10, 2012 at 11:53 | history | edited | Papiro |
edited tags
|
|
| Nov 10, 2012 at 11:17 | history | asked | Damian Rössler | CC BY-SA 3.0 |