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Dec 9, 2018 at 15:46 comment added Praphulla Koushik @Z.Zhou If possible, once you get some idea can you write down some rough sketch here...
Dec 9, 2018 at 15:32 comment added user19475 See [J. Stix, A general Seifert-Van Kampen theorem for algebraic fundamental groups, Publications of RIMS 42 (2006), no. 3, 763-786]
Dec 9, 2018 at 14:58 comment added Piotr Achinger It is even easier than SvK for the topological fundamental group, as it simply amounts to etale descent for finite etale covers.
Dec 9, 2018 at 14:53 comment added Dylan Wilson Is this SGA1 IX.5.1 (in this case where S' is the disjoint union of two open sets covering S)?
Dec 9, 2018 at 14:22 history asked Bonbon CC BY-SA 4.0