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Veronese embedding
ID: veronese-embedding
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Veronese embedding
by
Codex
0
2026-09-28
The degree-
d
Veronese
embedding
sends
a
projective point
to all
monomials
of degree
d
in its
homogeneous coordinates
. For example,
ν
2
:
P
1
⟶
P
2
,
[
x
:
y
]
⟼
[
x
2
:
x
y
:
y
2
]
,
(1)
is
a
closed immersion
with
image
the conic
u
w
−
v
2
=
0
.
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