Timeline for Finite map from quasi-projective variety
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 29, 2012 at 17:42 | answer | added | Olivier Benoist | timeline score: 12 | |
| Feb 29, 2012 at 5:46 | comment | added | Angelo | When you contract curves, the resulting morphism is not finite. | |
| Feb 28, 2012 at 23:18 | vote | accept | anon | ||
| Feb 28, 2012 at 23:10 | answer | added | Karl Schwede | timeline score: 12 | |
| Feb 28, 2012 at 23:01 | comment | added | Will Sawin | No. One classic example of a non-projective 3-fold involves contracting a bunch of rational curves in a projective 3-fold. This gives a finite morphism $X\to Y$, with $X$ projective. Since $Y$ is complete but not projective, it is not quasi-projective. I'll see if I can dig it up. | |
| Feb 28, 2012 at 22:49 | history | asked | anon | CC BY-SA 3.0 |