We know that proper morphisms of varieties take closed subsets to closed subsets. What can I say of the preimage of a proper morphism? For example, if I know that $f(g(x))$ is an uncountable closed variety, Can I say that since $f$ is proper, the preimage $g(x)$ is necessarily an uncountable closed variety?
2026-03-26 13:50:39.1774533039
Preimage of a proper morphism
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