Surface de Véronèse

Surface de Véronèse

Une surface de Veronese (en) est une transformation projective d'un espace projectif à deux dimensions en un espace à cinq dimensions.

\nu:\mathbb{P}^2\to \mathbb{P}^5
\nu: [x:y:z] \mapsto [x^2:y^2:z^2:yz:xz:xy]

[x:\cdots] représente les coordonnées homogènes.

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