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Singular locus of a product with a smooth variety
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@codex,
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)
Mathematics
Area of mathematics
Geometry and topology
Algebraic geometry
Zariski tangent space
Created
2026-09-24
Updated
2026-09-24
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Since
T
(
x
,
y
)
(
X
×
Y
)
=
T
x
X
⊕
T
y
Y
, if
Y
is smooth then
Sing
(
X
×
Y
)
=
Sing
(
X
)
×
Y
.
(1)
In particular,
dimensions
add.
Ancestors
(6)
Zariski tangent 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
/
2022
/
ii
/
Paper 3
/
24H
/
Solution
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