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May 2, 2018 at 6:58 comment added Neeraj Deshmukh The example in the answer gives a quasi-projective scheme with quasi-affine components. Are there non-quasi-projective examples? Or is such a scheme necessarily quasi-projective?
May 1, 2018 at 16:42 comment added Jason Starr A very similar example (but slightly different) appears in the following MathOverflow answer: mathoverflow.net/questions/209443/…
May 1, 2018 at 16:02 comment added Jason Starr I discussed this example years ago with Ravi Vakil. I very much believe this example has appeared before on MathOverflow (maybe as an example of a quasi-projective $k$-scheme whose global sections $k$-algebra is not finitely generated).
May 1, 2018 at 15:58 history edited R. van Dobben de Bruyn CC BY-SA 3.0
Fixed two small typos.
May 1, 2018 at 14:15 history edited Jason Starr CC BY-SA 3.0
added 95 characters in body
May 1, 2018 at 14:12 vote accept Neeraj Deshmukh
S May 1, 2018 at 14:02 history answered Jason Starr CC BY-SA 3.0
S May 1, 2018 at 14:02 history made wiki Post Made Community Wiki by Jason Starr