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Twisted cubic

The twisted cubic is the image of

[s : t] \mapsto [s^{3} : s^{2} t : s t^{2} : t^{3}]

in

P^{3}

. Its ideal is generated by the three

2 \times 2

minors of

(x_{0} x_{1} x_{1} x_{2} x_{2} x_{3}),

and it has degree three.

Table of contents 89 2
- Nondegenerate projective variety Twisted cubic 17
- Degree obstruction to the twisted cubic being a complete intersection Twisted cubic 44

 Ancestors (5)

 Incoming links (1)

Solution