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Segre embedding information


In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product (of sets) of two projective spaces as a projective variety. It is named after Corrado Segre.

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Segre embedding

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In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product (of sets) of two projective spaces as a projective...

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Segre

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Maine-et-Loire, France Segré, Burkina Faso Diari Segre or Segre, a Spanish- and Catalan-language daily newspaper Segre classification Segre embedding This disambiguation...

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Closed immersion

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presentation is the open immersion of an open closed subscheme. Segre embedding Regular embedding Mumford, The Red Book of Varieties and Schemes, Section II...

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Corrado Segre

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Corrado Segre (20 August 1863 – 18 May 1924) was an Italian mathematician who is remembered today as a major contributor to the early development of algebraic...

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Separable state

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_{B}(\rho )} is nonzero. Formally, the embedding of a product of states into the product space is given by the Segre embedding. That is, a quantum-mechanical...

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Determinantal variety

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many examples in algebraic geometry are of this form, such as the Segre embedding of a product of two projective spaces. Given m and n and r < min(m...

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Complete variety

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will have more closed sets (except in very simple cases). See also Segre embedding. Zariski, Oscar (1958). "Introduction to the Problem of Minimal Models...

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Glossary of tensor theory

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non-linear conditions for a tensor to satisfy, to be pure. For more see Segre embedding. Tensor algebra In the tensor algebra T(V) of a vector space V, the...

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List of algebraic geometry topics

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(projective geometry) Real projective plane Real projective space Segre embedding of a product of projective spaces Rational normal curve Conics, Pascal's...

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Projective variety

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spaces is projective. In fact, there is the explicit immersion (called Segre embedding) { P n × P m → P ( n + 1 ) ( m + 1 ) − 1 ( x i , y j ) ↦ x i y j {\displaystyle...

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Algebraic variety

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Segre embedding. Furthermore, any variety that admits one embedding into projective space admits many others, for example by composing the embedding with...

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Integral polytope

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projective space. The toric variety corresponding to a unit cube is the Segre embedding of the n {\displaystyle n} -fold product of the projective line.[citation...

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Birational geometry

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defined at those lines through p which are contained in X). The Segre embedding gives an embedding P 1 × P 1 → P 3 {\displaystyle \mathbb {P} ^{1}\times \mathbb...

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Segre cubic

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geometry, the Segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimensional projective space, studied by Corrado Segre (1887). The Segre cubic is...

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List of Italian inventions and discoveries

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geometry, being known for Segre classification, Segre cubic, Segre embedding, Segre surface, Zeuthen–Segre invariant (first discovered by Zeuthen). Other...

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Scorza variety

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The only Severi variety with n=4 is the Segre embedding of P2×P2 into P8, found by Scorza in 1908. The only Segre variety with n=8 is the 8-dimensional...

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Enrico Fermi

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Retrieved 6 May 2017. Segrè 1970, p. 7. Bonolis 2001, p. 315. Amaldi 2001, p. 24. Segrè 1970, pp. 11–12. Segrè 1970, pp. 8–10. Segrè 1970, pp. 11–13. Fermi...

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Glossary of classical algebraic geometry

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(Semple & Roth 1949, p.2) Segre 1.  Named after either Beniamino Segre or Corrado Segre 2.  A Segre variety or Segre embedding is the product of two projective...

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Segre class

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mathematics, the Segre class is a characteristic class used in the study of cones, a generalization of vector bundles. For vector bundles the total Segre class is...

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Normal cone

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R with respect to I. If Y is the product X × X and the embedding i is the diagonal embedding, then the normal bundle to X in Y is the tangent bundle...

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Italian school of algebraic geometry

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Segre "would bring, either by their own efforts or those of their students, Italian algebraic geometry to full maturity". A one-time student of Segre...

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Projective Hilbert space

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of projective Hilbert spaces is not a projective space. The Segre mapping is an embedding of the Cartesian product of two projective spaces into the projective...

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Del Pezzo surface

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singularities. They were originally assumed to be embedded in projective space by the anticanonical embedding, which restricts the degree to be at least 3...

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Vedado Tennis Club

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literary companion. Signal Books. https://archive.org/embed/havanaculturalli0000ligh Scarpaci, J. L., Segre, R., Coyula, M. (2002). Havana: Two Faces of the...

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Rational surface

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It is the only surface with two different rulings. The projective plane Segre surface An intersection of two quadrics, isomorphic to the projective plane...

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