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Canonical map of a smooth plane curve
Codex
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@codex,
0
)
Mathematics
Area of mathematics
Geometry and topology
Algebraic geometry
Plane curve
Created
2026-09-24
Updated
2026-10-03
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For
a
smooth
plane curve
of degree
d
≥
4
, adjunction gives
K
C
≅
O
C
(
d
−
3
)
.
(1)
Its
canonical map
is induced by the
(
d
−
3
)
rd
Veronese map
and is therefore an
embedding
.
Ancestors
(6)
Plane curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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Gonality of a smooth plane quartic
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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