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Feb 27, 2012 at 13:37 comment added Felipe Voloch @Dan, good point :-) It's not obvious that is not projective if positive dimensional but my feeling is that, if you can deform, you can degenerate, say, by making branch points come together.
Feb 27, 2012 at 8:15 comment added Dan Petersen Is it obvious that it can never be projective? (Also, you at least need to exclude the case that the locus is a single point, like the Klein quartic in genus three.)
Feb 27, 2012 at 3:43 vote accept Daniel
Feb 26, 2012 at 23:46 history answered Felipe Voloch CC BY-SA 3.0