projective variety

projective variety
мат. проективное многообразие

Большой англо-русский и русско-английский словарь. 2001.

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Смотреть что такое "projective variety" в других словарях:

  • Variety — may refer to: *Variety (botany), a rank in botany below that of species. *Variety (cybernetics), the number of possible states of a system or of an element of the system. *Variety (linguistics), a concept that includes for instance dialects,… …   Wikipedia

  • Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… …   Wikipedia

  • Projective texture mapping — is a method of texture mapping that allows a textured image to be projected onto a scene as if by a slide projector. Projective texture mapping is useful in a variety of lighting techniques and it s the starting point for shadow… …   Wikipedia

  • Projective connection — In differential geometry, a projective connection is a type of Cartan connection on a differentiable manifold. The structure of a projective connection is modeled on the geometry of projective space, rather than the affine space corresponding to… …   Wikipedia

  • Projective line — In mathematics, a projective line is a one dimensional projective space. The projective line over a field K , denoted P1( K ), may be defined as the set of one dimensional subspaces of the two dimensional vector space K 2 (it does carry other… …   Wikipedia

  • Algebraic variety — This article is about algebraic varieties. For the term a variety of algebras , and an explanation of the difference between a variety of algebras and an algebraic variety, see variety (universal algebra). The twisted cubic is a projective… …   Wikipedia

  • Quasiprojective variety — In mathematics, a quasiprojective variety in algebraic geometry is a locally closed subset of a projective variety, i.e., the intersection inside some projective space of a Zariski open and a Zariski closed subset.For example, affine space is a… …   Wikipedia

  • Abstract variety — In mathematics, in the field of algebraic geometry, the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space (Hassler… …   Wikipedia

  • Determinantal variety — In algebraic geometry, determinantal varieties are spaces of matrices with a given upper bound on their ranks. Their significance comes from the fact that many examples in algebraic geometry are of this form, such as the Segre embedding of a… …   Wikipedia

  • Complete algebraic variety — In mathematics, in particular in algebraic geometry, a complete algebraic variety is an algebraic variety X, such that for any variety Y the projection morphism X × Y → Y is a closed map, i.e. maps closed sets onto closed sets.[1] The most common …   Wikipedia

  • Degree of an algebraic variety — The degree of an algebraic variety in mathematics is defined, for a projective variety V, by an elementary use of intersection theory. For V embedded in a projective space Pn and defined over some algebraically closed field K, the degree d of V… …   Wikipedia


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