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Oct 14, 2020 at 14:38 comment added naf Yes, $Y_1$ is smooth since it is the blow down of a smooth rational curve with self-intersection $-1$.
Oct 14, 2020 at 10:48 comment added Ariyan Javanpeykar Thank you for this! A small follow-up question (to double-check I understood correctly): Is the surface $Y_1$ actually smooth?
Oct 14, 2020 at 10:47 vote accept Ariyan Javanpeykar
S Oct 11, 2020 at 6:05 history answered naf CC BY-SA 4.0
S Oct 11, 2020 at 6:05 history made wiki Post Made Community Wiki by naf