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Vanishing loci of ideal sums and intersections
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)
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Mathematics
Area of mathematics
Geometry and topology
Algebraic geometry
Algebraic variety
Affine algebraic set
Created
2026-09-24
Updated
2026-09-24
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For
ideals
I
,
J
⊆
k
[
x
1
,
…
,
x
n
]
,
V
(
I
+
J
)
=
V
(
I
)
∩
V
(
J
)
,
V
(
I
∩
J
)
=
V
(
I
)
∪
V
(
J
)
.
(1)
The
second
equality also follows from
V
(
I
J
)
=
V
(
I
)
∪
V
(
J
)
and
I
J
⊆
I
∩
J
.
(2)
Ancestors
(7)
Affine algebraic set
Algebraic variety
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
/
2021
/
ii
/
Paper 1
/
25I
/
i
/
Solution
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