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Apr 19, 2016 at 19:51 vote accept Hans
Apr 19, 2016 at 18:13 comment added Noam D. Elkies I noticed this error and was correcting it as you wrote.
Apr 19, 2016 at 18:12 history edited Noam D. Elkies CC BY-SA 3.0
added 608 characters in body
Apr 19, 2016 at 18:08 comment added Hans what you call "the two-sheeted hyperboloid" has as real part a sphere rather than the union of two projective planes. For double covers with branch locus of higher degree I don't see why it should be the union of two projective planes. if it's true, can you give an argument?
Apr 19, 2016 at 17:18 history answered Noam D. Elkies CC BY-SA 3.0