Timeline for (Etale) fundamental group of quotient singularity $\mathbb{C}^n/G$
Current License: CC BY-SA 3.0
5 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 10, 2016 at 13:49 | answer | added | Sean Lawton | timeline score: 3 | |
| May 10, 2016 at 12:48 | comment | added | Jason Starr | I think that you should specify that $G$ acts without pseudoreflections. If $G$ acts with pseudoreflections, then $X/G$ may well be $\mathbb{A}^n$. This has trivial class group, even when $G$ is Abelian. | |
| May 10, 2016 at 12:48 | comment | added | Matthias Wendt | The MO-answer you cite implies $\pi_1(X)$ is trivial because every element of the group fixes the origin. In your setting of varieties over $\mathbb{C}$, the étale fundamental group is the profinite completion of the topological fundamental group (Riemann existence theorem). This reduces questions about the étale fundamental group to topological computations. One of the standard references for the comparison étale vs topological is SGA1, Corollaire XII.5.2. | |
| May 10, 2016 at 11:49 | history | asked | Lukas Braun | CC BY-SA 3.0 |