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

War Segrè chart Segre class Segre classification Segre cubic Segre embedding Segre surface Segre's theorem Segrè–Silberberg effect Zeuthen–Segre invariant...

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...

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...

_{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...

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

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...

In the category of algebraic varieties, the product is given by the Segre embedding. In the category of semi-abelian monoids, the product is given by the...

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

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...

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

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...

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...

will have more closed sets (except in very simple cases). See also Segre embedding. Mumford 1999, Chapter I.10. Zariski, Oscar (1958). "Introduction to...

metric is separable on the natural product of projective spaces, the Segre embedding. That is, if | ψ ⟩ {\displaystyle \vert \psi \rangle } is a separable...

(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...

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...

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

\mathbf {P} ^{1}\times \mathbf {P} ^{1}} , embedded in P 3 {\displaystyle \mathbf {P} ^{3}} by the Segre embedding. The space of lines in the quadric surface...

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...

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...

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...

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

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...

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...

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

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...

fields. One topic of his research is the collineation groups of ovals and embedding problems for arcs in ovals; these investigations have applications in...

considered an extension of the ring A since it contains a copy of A due to the embedding E : a → U[a, 1]. The multiplicative inverse mapping u → 1/u, ordinarily...

Consider the embedding D → P(D) by z → [z, 1]. Then points [1, n], for n2 = 0, are in P(D) but are not the image of any point under the embedding. P(D) is...