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Jun 21, 2022 at 12:10 comment added Misha Verbitsky The open ball in $C^n$ can be the universal cover of a Kahler manifold, and it does not have an algebraic structure
Jun 20, 2022 at 18:01 answer added Misha Verbitsky timeline score: 5
Jun 19, 2022 at 21:58 comment added Will Sawin The universal cover of any Kahler manifold has this property. These are usually not quasiprojective. So one would have to rule out this case, at least.
Jun 19, 2022 at 16:23 history asked Philip Engel CC BY-SA 4.0