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Canonical map of a smooth plane curve
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For a smooth plane curve of degree
d
≥
4
, adjunction gives
K
C
≅
O
C
(
d
−
3
)
.
(58)
Its canonical map is induced by the
(
d
−
3
)
rd Veronese map and is therefore an embedding.
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(6)
Plane curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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