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Apr 30, 2015 at 9:25 comment added Jason Starr Irreducibility of spaces of rational curves in $Q^3$, or in any projective homogeneous space, was proved earlier than Harris-Roth-Starr by Kim-Pandharipande using stable maps and (if memory serves) by Kuznetsov using quasi-maps.
Apr 29, 2015 at 15:13 history answered dhy CC BY-SA 3.0