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Hyperelliptic curve
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Geometry and topology
Algebraic geometry
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Words: 165
Articles: 4
A hyperelliptic curve of genus at least two admits a degree-two map to
P
1
and can be represented in characteristic other than two by an equation
y
2
=
f
(
x
)
with
f
square-free.
Table of contents
165
4
Even-degree hyperelliptic model
Hyperelliptic curve
134
3
Compactification of y squared equals x to the eighth minus one
Even-degree hyperelliptic model
48
Canonical divisor of an even-degree hyperelliptic curve
Even-degree hyperelliptic model
64
1
Canonical map of a hyperelliptic curve
Canonical divisor of an even-degree hyperelliptic curve
28
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Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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