Timeline for Does the etale fundamental group of the projective line minus a finite number of points over a finite field depend on the points?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 28, 2010 at 12:59 | vote | accept | Makhalan Duff | ||
| Dec 28, 2010 at 11:12 | answer | added | Lars | timeline score: 28 | |
| Dec 28, 2010 at 9:16 | comment | added | Angelo | I don't know the answer, but it follows from Abhyankar's conjecture, proved by Raynaud and Harbater, that the finite quotients of the fundamental groups in the algebraically closed case are the same, which suggests that the fundamental groups might be isomorphic. | |
| Dec 28, 2010 at 5:57 | answer | added | Mephisto | timeline score: -4 | |
| Dec 27, 2010 at 23:34 | comment | added | Felipe Voloch | Maybe you are aware that the fundamental group of a projective curve of genus $g>1$ does depend on moduli. See, e.g., this paper of Saidi: empslocal.ex.ac.uk/people/staff/ms220/Site/Publications_files/… I don't know the answer to your question but my guess is that it will depend on the $a_i$'s | |
| Dec 27, 2010 at 22:36 | history | asked | Makhalan Duff | CC BY-SA 2.5 |