Projective cone information

A projective cone (or just cone) in projective geometry is the union of all lines that intersect a projective subspace R (the apex of the cone) and an...

a pyramid. Depending on the context, "cone" may also mean specifically a convex cone or a projective cone. Cones can also be generalized to higher dimensions...

affine algebraic set. Quadrics may also be defined in projective spaces; see § Normal form of projective quadrics, below. As the dimension of a Euclidean plane...

complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space...

the projective cone of a smooth variety: given a smooth projective variety X ⊂ P n {\displaystyle X\subset \mathbb {P} ^{n}} its projective cone is the...

{\displaystyle \pi } . A projective mapping is a finite sequence of perspective mappings. As a projective mapping in a projective plane over a field (pappian...

Cone snails, or cones, are highly venomous sea snails of the family Conidae. Fossils of cone snails have been found from the Eocene to the Holocene epochs...

projective variety is nef if it has nonnegative degree on every curve in the variety. The classes of nef line bundles are described by a convex cone,...

Mori's version of the theorem is as follows: Cone Theorem. Let X {\displaystyle X} be a smooth projective variety. Then 1. There are countably many rational...

In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space P n {\displaystyle \mathbb {P}...

The cone of Pinophyta (conifer clade) contains the reproductive structures. The woody cone is the female cone, which produces seeds. The male cone, which...

normal bundle to X in Y is the tangent bundle to X. The normal cone (or rather its projective cousin) appears as a result of blow-up. Precisely, let π : Bl...

Traffic cones, also called pylons, witches' hats, road cones, highway cones, safety cones, caution cones, channelizing devices, construction cones, roadworks...

being ruled or doubly ruled are preserved by projective maps, and therefore are concepts of projective geometry. In algebraic geometry, ruled surfaces...

the projective plane with homogeneous coordinates (a:b:c). The dual curve is a curve in the projective tangent space at the point, and the affine cone over...

In project management, the cone of uncertainty describes the evolution of the amount of best case uncertainty during a project. At the beginning of a...

of toric varieties are affine space, projective spaces, products of projective spaces and bundles over projective space. The original motivation to study...

simplified by working in projective space rather than affine space, and so cubic surfaces are generally considered in projective 3-space P 3 {\displaystyle...

fundamental geometric statement on projective spaces: the Euler sequence. The negativity of the canonical line bundle makes projective spaces prime examples of...

Spheroid Ellipsoid Hyperboloid Paraboloid Cone Torus Root system Similarity Zonotope Projective geometry Arc (projective geometry) Desargues' theorem Girard...

In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces. By definition, a scheme X over a Noetherian scheme S is a Pn-bundle...

+ z 4 + w 4 = 0 {\displaystyle x^{4}+y^{4}+z^{4}+w^{4}=0} in complex projective 3-space. Together with two-dimensional compact complex tori, K3 surfaces...

icosahedron cones and cylinders the sphere other quadrics: spheroid, ellipsoid, paraboloid and hyperboloids. Advanced topics include: projective geometry...

In linear algebra, a cone—sometimes called a linear cone for distinguishing it from other sorts of cones—is a subset of a vector space that is closed...

Honey Cone was an American R&B and soul girl group formed by lead singer Edna Wright (sister of Darlene Love) with Carolyn Willis and Shelly Clark in 1968...