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Mar 14, 2023 at 21:25 history edited Michael Hardy CC BY-SA 4.0
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Mar 14, 2023 at 20:59 comment added R. van Dobben de Bruyn The precise reference is SGA 1, Exp. X, Cor. 1.8.
Mar 14, 2023 at 20:42 comment added Will Sawin One can indeed use the Lefschetz principle here: $\pi_1(X_K, \overline{x}_K)$ is independent of the choice of $K$ for $K$ algebraically closed of characteristic zero, so one may assume $K=\mathbb C$. This is contained in SGA 1 somewhere.
Mar 14, 2023 at 19:59 history asked FPV CC BY-SA 4.0