# 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

### Книги

- The Center and Cyclicity Problems. A Computational Algebra Approach, Douglas Shafer, Valery Romanovski, Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book… Категория: Научная литература Подробнее Купить за 9952 руб
- A1-Algebraic Topology over a Field, Fabien Morel, This text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is… Категория: Научная литература Подробнее Купить за 7802 руб
- Computational Algebraic Geometry and Groebner Basis, Salah Uddin Mohammad, Computational Algebraic Geometry (CAG) is a well-defined collection of the algebra of polynomial ideals, the geometry of affine varieties and wonderful implementations of algorithms. It… Категория: Научная литература Подробнее Купить за 6439 руб