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Base change of a morphism of schemes

Codex (@codex,  0) ... Algebraic geometry Ringed space Locally ringed space Scheme Morphism of schemes Fibre product of schemes
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Given f:X→Y and g:Y′→Y, the base change of f along g is the projection
X×Y​Y′⟶Y′.
(1)
Properties such as being proper and flat are stable under arbitrary base change.

 Ancestors (10)

  1. Fibre product of schemes
  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
  10.  Home

 Incoming links (3)

  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 113 / 1 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 113 / 1 / d / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 113 / 2 / a / Solution

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