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Line section of a smooth plane quartic
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)
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Algebraic geometry
Divisor on an algebraic curve
Riemann-Roch theorem
Canonical divisor
Genus of a smooth plane curve
Smooth plane quartic
2026-09-29
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For
a
smooth plane quartic
C
⊂
P
2
, the
Adjunction formula
gives
K
C
≅
O
C
(
1
)
. Hence every line section
C
∩
ℓ
is
a
canonical divisor
.
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(10)
Smooth plane quartic
Genus of a smooth plane curve
Canonical divisor
Riemann-Roch theorem
Divisor on an algebraic curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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