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Veronese surface

In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear system of conics. It is named after Giuseppe Veronese (1854–1917). Its generalization to higher dimension is known as the Veronese variety. 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. (Wikipedia).

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algebraic geometry 19 The Veronese surface and the variety of lines in space

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From playlist Algebraic geometry I: Varieties

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From playlist Geogebra Videos

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From playlist The Riemann Sphere

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From playlist Renaissance & Reformation in Europe | Art History | Khan Academy

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From playlist Sets (Discrete Math)

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Vector space | Zariski topology | Giuseppe Veronese | Monomial | Rational normal curve | Additive polynomial | Algebraic surface | Linear equation | Projective space | Linear system of conics | Parabola | Homogeneous coordinates | Binomial coefficient | Mathematics | Field (mathematics) | Biregular | Scorza variety | Constructible set (topology) | Symmetric power | Twisted cubic | Projective plane | Open set