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twisted cubic
algebraic curve in projective 3-space, defined parametrically as t ↦ (t, t², t³)
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Statements
subclass of
rational normal curve
0 references
image
Twisted cubic curve.png
541 × 536; 145 KB
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defining formula
Proj
K
[
x
,
y
,
z
,
w
]
(
x
z
−
y
2
,
y
w
−
z
2
,
x
w
−
y
z
)
{\displaystyle \operatorname {Proj} {\frac {K[x,y,z,w]}{(xz-y^{2},yw-z^{2},xw-yz)}}}
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in defining formula
Proj
{\displaystyle \operatorname {Proj} }
symbol represents
Proj construction
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(
x
z
−
y
2
,
y
w
−
z
2
,
x
w
−
y
z
)
{\displaystyle (xz-y^{2},yw-z^{2},xw-yz)}
symbol represents
ideal
0 references
K
[
x
,
y
,
z
,
w
]
{\displaystyle K[x,y,z,w]}
symbol represents
polynomial ring
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K
{\displaystyle K}
symbol represents
field
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maintained by WikiProject
WikiProject Mathematics
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Identifiers
Freebase ID
/m/059d7z
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Microsoft Academic ID
37500760
0 references
OpenAlex ID
C37500760
1 reference
stated in
OpenAlex
retrieved
26 January 2022
reference URL
https://docs.openalex.org/download-snapshot/snapshot-data-format
Sitelinks
Wikipedia
(3 entries)
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cawiki
Cúbica torçada
enwiki
Twisted cubic
eswiki
Cúbica alabeada
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