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Aug 8, 2021 at 10:21 comment added Ariyan Javanpeykar Minor correction: "Every genus 0 smooth projective curve over an infinite field with a rational point has a Zariski dense...."
Aug 7, 2021 at 10:46 comment added Jason Starr Every genus $0$ smooth projective curve over an infinite field has a Zariski dense set of rational points. Thus, if a genus $0$ smooth affine curve has no rational points then also its projective model has no rational points.
Aug 7, 2021 at 7:20 history asked oleout CC BY-SA 4.0