Projective curve

A projective curve is a one-dimensional projective variety.

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- Rational normal curve Projective curve

Rational normal curve

A rational normal curve in

P^{n}

is the image of the degree-

n

Veronese map from

P^{1}

. After projective changes of coordinates it has parametrization

[S : T] ⟼ [S^{n} : S^{n - 1} T : \dots : T^{n}] .

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