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Base change of a morphism of schemes
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Algebraic geometry
Ringed space
Locally ringed space
Scheme
Morphism of schemes
Fibre product of schemes
2026-09-28
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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)
Fibre product of schemes
Morphism of schemes
Scheme
Locally ringed space
Ringed space
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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(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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