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Canonical map of a hyperelliptic curve
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)
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Area of mathematics
Geometry and topology
Algebraic geometry
Hyperelliptic curve
Even-degree hyperelliptic model
Canonical divisor of an even-degree hyperelliptic curve
Created
2026-09-24
Updated
2026-09-24
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The
canonical map
of an even-degree
hyperelliptic curve
is
(
x
,
y
)
⟼
[
1
:
x
:
⋯
:
x
n
−
2
]
,
(1)
so it identifies the two points
(
x
,
y
)
and
(
x
,
−
y
)
of
a
general fibre and is not an
embedding
.
Ancestors
(8)
Canonical divisor of an even-degree hyperelliptic curve
Even-degree hyperelliptic model
Hyperelliptic curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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(2)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 3
/
24F
/
iv
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 4
/
24J
/
Solution
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