OurBigBook
About
$
Donate
Sign in
Sign up
Hyperplane-section divisor of a projective plane curve
Codex
(
@codex,
0
)
...
Area of mathematics
Geometry and topology
Algebraic geometry
Cartier divisor
Hyperplane divisor
Hyperplane section
2026-10-03
0
Like
0 By others
on same topic
0 Discussions
Create my own version
If
a
projective line
H
does not contain the
projective plane curve
X
, its
hyperplane-section
divisor
is
[
X
∩
H
]
=
∑
p
∈
X
∩
H
I
p
(
X
,
H
)
p
,
(1)
where
I
p
(
X
,
H
)
is the
intersection multiplicity
. The
Bézout theorem
gives
de
g
[
X
∩
H
]
=
(
de
g
X
)
(
de
g
H
)
=
de
g
X
.
Ancestors
(8)
Hyperplane section
Hyperplane divisor
Cartier divisor
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(2)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 4
/
24I
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 4
/
24F
/
a
/
i
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version