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Tangent spaces of a product of two nodal line pairs
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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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For
X
=
Z
(
x
1
2
−
x
2
2
,
x
3
2
−
x
4
2
)
⊂
A
4
(1)
in characteristic other than two,
T
P
X
=
{
v
:
x
1
v
1
−
x
2
v
2
=
0
,
x
3
v
3
−
x
4
v
4
=
0
}
.
(2)
The variety has
dimension
two. Its
tangent
dimension
is two when both coordinate
pairs
are nonzero, three when exactly one
pair
vanishes, and four at the origin.
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
/
2024
/
ii
/
Paper 2
/
25F
/
Solution
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