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Divisor on an algebraic curve
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Mathematics
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Geometry and topology
Algebraic geometry
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Words: 432
Articles: 14
A divisor is a finite formal integer combination of closed points. For a divisor
D
,
L
(
D
)
=
{
f
∈
k
(
X
)
×
:
(
f
)
+
D
≥
0
}
∪
{
0
}
,
ℓ
(
D
)
=
dim
k
L
(
D
)
.
(47)
Table of contents
432
14
Degree of a divisor
Divisor on an algebraic curve
16
Linear equivalence of divisors
Divisor on an algebraic curve
39
Principal divisor on an algebraic curve
Divisor on an algebraic curve
130
2
Divisor class on the projective line
Principal divisor on an algebraic curve
50
Principal divisor with one simple zero and one simple pole
Principal divisor on an algebraic curve
45
Complete linear system of a divisor
Divisor on an algebraic curve
82
2
Very ample divisor
Complete linear system of a divisor
55
1
High-degree divisor is very ample on a smooth projective curve
Very ample divisor
38
Riemann-Roch theorem
Divisor on an algebraic curve
145
5
Canonical divisor
Riemann-Roch theorem
129
4
Canonical divisor of the projective line
Canonical divisor
44
Genus of a smooth plane curve
Canonical divisor
26
1
Smooth plane quartic
Genus of a smooth plane curve
16
Canonical map
Canonical divisor
35
Ancestors
(5)
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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(2)
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