Timeline for Non-dominant polynomial maps in the plane
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2010 at 18:24 | answer | added | Terry Tao | timeline score: 4 | |
| Oct 27, 2010 at 17:46 | vote | accept | Terry Tao | ||
| Oct 27, 2010 at 17:04 | answer | added | Qing Liu | timeline score: 6 | |
| Oct 27, 2010 at 8:54 | answer | added | Angelo | timeline score: 14 | |
| Oct 27, 2010 at 8:45 | comment | added | quim | The second question is true by Bertini (at least in characteristic zero): you have a linear series whose general member is not irreducible; by Bertini's theorem this implies that the series is "composed with a pencil" ie, P(x,y)-c=R(T(x,y),S(x,y),c) with T,S of smaller degree than P. Since one of the members of your series is a multiple of the line at infinity, the same is true for the smaller pencil, so you can take S=1. | |
| Oct 27, 2010 at 7:27 | history | asked | Terry Tao | CC BY-SA 2.5 |