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Sep 23, 2022 at 16:28 comment added red_trumpet @tota Not sure if I understand you correctly, but properness just comes from the projectivity of $X$ and $Y$, and has nothing to do with birationality.
Sep 23, 2022 at 14:06 comment added tota Thanks!! @red_trumpet for your answer. I missed the point that birational morphism of curves is proper.
Sep 23, 2022 at 14:04 vote accept tota
Sep 23, 2022 at 13:29 history edited LSpice CC BY-SA 4.0
Typo
Sep 23, 2022 at 8:17 history answered red_trumpet CC BY-SA 4.0