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Aug 10, 2022 at 23:00 vote accept Carlos Esparza
Aug 10, 2022 at 9:36 comment added abx @მამუკა ჯიბლაძე: No difference, there are smooth simply connected surfaces in $\Bbb{P}^4$ which are not complete intersections.
Aug 10, 2022 at 9:21 comment added მამუკა ჯიბლაძე I understand that this is outside scope but what about simply connected $X$?
Aug 10, 2022 at 9:15 comment added Sasha Indeed, my argument is incorrect (the explanation is given in the edit to my answer).
Aug 10, 2022 at 8:32 history answered Piotr Achinger CC BY-SA 4.0