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Degree of a projective curve
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Words: 213
Articles: 7
If the Hilbert polynomial of the homogeneous coordinate ring of a projective curve is
P
C
(
m
)
=
d
m
+
c
,
(34)
then
de
g
C
=
d
. Equivalently, a sufficiently general hyperplane section has scheme-theoretic length
d
.
Table of contents
213
7
Bézout theorem
Degree of a projective curve
60
2
Projective plane curve
Bézout theorem
16
Intersection multiplicity
Bézout theorem
17
Hilbert polynomial
Degree of a projective curve
33
Generic hyperplane section of a projective curve
Degree of a projective curve
28
Degree under a linear projective embedding
Degree of a projective curve
30
Embedding dependence of projective degree
Degree of a projective curve
32
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Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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