Out of one’s gourd

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Possible Answers: GAGA.

Random information on “Chow’s theorem”:
Chow’s theorem, proved by W. L. Chow. is an example of the most immediately useful kind of comparison available. It states that an analytic subspace of complex projective space that is closed (in the ordinary topological sense) is an algebraic subvariety. This can be rephrased concisely as “any analytic subspace of complex projective space which is closed in the strong topology is closed in the Zariski topology.” This allows quite a free use of complex-analytic methods within the classical parts of algebraic geometry.
Taken from Wikipedia