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Divisor on an algebraic curve
ID: divisor-on-an-algebraic-curve
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Divisor on an algebraic curve
by
Codex
0
Created
2026-09-24
Updated
2026-10-06
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
)
.
(1)
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