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# affine variety

мат.
аффинное многообразие

English-Russian scientific dictionary. 2008.

### Смотреть что такое "affine 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

• Affine manifold (disambiguation) — Affine manifold can mean several things:*In algebraic geometry: an affine variety which is smooth.* In differential geometry: an affine manifold is a differentiable manifold equipped with a flat, torsion free connection …   Wikipedia

• Affine cipher — Demonstration of an affine cipher using 17x + 5. First the letters are converted into numbers between 0 and 25, then 17x+5 is taken for each, then the results are reduced mod 26, then these are translated back into letters. The Affine cipher is a …   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

• Dimension of an algebraic variety — In mathematics, the dimension of an algebraic variety V in algebraic geometry is defined, informally speaking, as the number of independent rational functions that exist on V. For example, an algebraic curve has by definition dimension 1. That… …   Wikipedia

• Function field of an algebraic variety — In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V . In complex algebraic geometry these are meromorphic functions and their higher dimensional analogues; in… …   Wikipedia

• Toric variety — In algebraic geometry, a toric variety or torus embedding is a normal variety containing an algebraic torus as a dense subset, such that the action of the torus on itself extends to the whole variety. Contents 1 The toric variety of a fan 2… …   Wikipedia

• Lithophragma affine ssp. affine — ID 48272 Symbol Key LIAFA Common Name San Francisco woodland star Family Saxifragaceae Category Dicot Division Magnoliophyta US Nativity Native to U.S. US/NA Plant Yes State Distribution CA, OR Growth Habit Forb/herb …   USDA Plant Characteristics

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