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Reduced induced subscheme
Codex
(
@codex,
0
)
...
Ringed space
Locally ringed space
Scheme
Morphism of schemes
Closed immersion
Closed subscheme
Created
2026-09-24
Updated
2026-09-24
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Every closed
subset
Z
⊆
X
has a
canonical reduced
closed-subscheme
structure defined affine-locally by
Spec
(
A
/
I
)
when
Z
=
V
(
I
)
⊆
Spec
A
. It is the smallest
closed subscheme
with underlying
set
Z
.
Ancestors
(11)
Closed subscheme
Closed immersion
Morphism of schemes
Scheme
Locally ringed space
Ringed space
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 113
/
4
/
b
/
Solution
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