Reference for: smooth projective curve minus a point is affine

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Does anybody know a textbook or journal reference which contains the proof of the "well-known" fact that a smooth projective curve minus a point (or even finitely many points) is affine? The proof appears here on math.SE multiple times, in Ravi Vakil's notes (but not in his book, at far as I can tell) and other discussion forums. I need something citable. The case of elliptic curves would suffice.

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This is practically Sasha's proof, but you can cite Proposition 5 in:

Goodman, Jacob Eli. "Affine open subsets of algebraic varieties and ample divisors." Ann. of Math. (2) 89 (1969), pp. 160–183. DOI: 10.2307/1970814. MR: 0242843.