For a finite-type morphism of Noetherian schemes, properness is equivalent to existence and uniqueness in every lifting problem from the generic point of a valuation ring to .

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  1. Proper morphism
  2. Morphism of schemes
  3. Scheme
  4. Locally ringed space
  5. Ringed space
  6. Algebraic geometry
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
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