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Oct 28, 2022 at 0:25 comment added Jason Starr Just to comment on the difference between that proof and the one I sketched: in the proof using Goodman's theorem, we "forget" $L$ after we use it to prove that $M$ is Moishezon. Instead, Goodman shows that the closed complement of any Zariski open that is affine supports an ample divisor. So instead of modifying $L$ to satisfy Nakai-Moishezon or Grauert, we just use Goodman's ample divisor.
Oct 27, 2022 at 11:41 history answered Francesco Polizzi CC BY-SA 4.0