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Rational normal curve

Codex (@codex,  0) ... Geometry and topology Algebraic geometry Algebraic variety Projective space Projective variety Projective curve
2026-09-29  1 By others on same topic  0 Discussions Create my own version
A rational normal curve in Pn is the image of the degree-n Veronese map from P1. After projective changes of coordinates it has parametrization
[S:T]⟼[Sn:Sn−1T:⋯:Tn].
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  1. Projective curve
  2. Projective variety
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  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 24F / Solution

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Rational normal curve by Wikipedia Bot  1
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The rational normal curve is a mathematical concept often used in algebraic geometry and related fields. It is defined as the image of the embedding of projective space into a projective space of higher dimensions via a rational parameterization.
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