Timeline for Curve minus point isomorphic to Curve?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 20, 2010 at 8:50 | comment | added | Xandi Tuni | ...hmm, true. Fortunately that's the only example where the fundamental group fails. | |
| May 20, 2010 at 8:48 | comment | added | Pete L. Clark | @HH: Yes, absolutely XT's answer can be made to work, as I mentioned in my answer below. There are lots of ways to go: removing another point is a nice one, I agree. | |
| May 20, 2010 at 8:43 | comment | added | H. Hasson | @Pete: you can take off an extra point (to avoid your example) and then look at the prime-to-p fundamental group, and I imagine the rest is basic profinite group theory. | |
| May 20, 2010 at 8:37 | comment | added | Pete L. Clark | Not quite: in characteristic $0$, $\mathbb{P}^1$ and $\mathbb{A}^1$ are both simply connected. | |
| May 20, 2010 at 8:31 | history | answered | Xandi Tuni | CC BY-SA 2.5 |