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- Q7250176 subject Q8641750.
- Q7250176 abstract "In algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces.Some authors call a proper variety over a field k a complete variety. For example, every projective variety over a field k is proper over k. A scheme X of finite type over the complex numbers (for example, a variety) is proper over C if and only if the space X(C) of complex points with the classical (Euclidean) topology is compact and Hausdorff.A closed immersion is proper. A morphism is finite if and only if it is proper and quasi-finite.".
- Q7250176 wikiPageExternalLink nagatafinal.pdf.
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- Q7250176 comment "In algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces.Some authors call a proper variety over a field k a complete variety. For example, every projective variety over a field k is proper over k. A scheme X of finite type over the complex numbers (for example, a variety) is proper over C if and only if the space X(C) of complex points with the classical (Euclidean) topology is compact and Hausdorff.A closed immersion is proper.".
- Q7250176 label "Proper morphism".