Although it makes perfect sense to define abstract algebraic varieties without an ambient space, and it is sometimes very useful, I was wondering if there are many known examples of varieties that are not quasi-projective. In particular, are there explicit examples of abstract complex curves (algebraic varieties over $\mathbb{C}$ of dimension $1$) that are not quasi-projective?
2026-03-29 10:37:18.1774780638
Curve that is not quasi-projective
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