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Veronese surface


 

In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space. It is the embedding of the projective plane according to the linear system of divisors given by the conic sections. In more algebraic language, it is the same to say that the mapping

Related Topics:
Mathematics - Algebraic surface - Projective space - Projective plane - Linear system of divisors - Conic section

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:f(x:y:z) = (x2:y2:z2:yz:xz:xy)

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gives the transformation applied to homogeneous coordinates.

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See also: Steiner surface.

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