In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space. It is the embedding of the projective plane given by the complete linear system of conics. It is named for Giuseppe Veronese (1854-1917). The surface admits an embedding in the four-dimensional projective space defined by the projection from a general point in the five-dimensional space. Its general projection to three-dimensional projective space is called a Steiner surface. Its generalization to higher dimension is known as the Veronese variety.
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