I'm curious if the following works as a criterion to determine when a quasi-projective variety is actually affine.
If $X$ is a quasi-projective variety, and the scheme $\tilde{X}$ is affine, does this necessarily imply that $X$ is an affine variety?
I'm curious if the following works as a criterion to determine when a quasi-projective variety is actually affine.
If $X$ is a quasi-projective variety, and the scheme $\tilde{X}$ is affine, does this necessarily imply that $X$ is an affine variety?
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