Examples of 'algebraic variety' in a sentence
Meaning of "algebraic variety"
An algebraic variety is a concept in mathematics that refers to a geometric object defined by polynomial equations. It is a fundamental concept in algebraic geometry
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- The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition.
How to use "algebraic variety" in a sentence
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algebraic variety
It is used to define the dimension of an algebraic variety.
It is an algebraic variety since it is a product of varieties.
Study of the resultant on an algebraic variety.
The concept of an algebraic variety is similar to that of an analytic manifold.
Thus it is an affine algebraic variety.
A complex algebraic variety can be naturally considered as a complex analytic space.
This notion is formalized as the dimension of a manifold or an algebraic variety.
The dimension of an algebraic variety may be defined in various equivalent ways.
This makes witness sets a good description of an algebraic variety.
Abstract algebraic variety.
The term variety of algebras should not be confused with algebraic variety.
As an algebraic variety.
Conventions regarding the definition of an algebraic variety differ slightly.
An algebraic variety over a field k can be defined as a scheme over k with certain properties.
It also provides invariants to distinguish one algebraic variety from another.
See also
A morphism from an algebraic variety to the affine line is also called a regular function.
To each Markov process on a tree one can associate an algebraic variety.
The full theorem generalizes to any algebraic variety over an algebraically closed field.
The Zariski topology is defined algebraically on the spectrum of a ring or an algebraic variety.
Then X is an algebraic variety since it is an open subset of a variety.
This applies in particular if M and N are subvarieties of a complex algebraic variety.
Let X be an algebraic variety over a field k.
See also irreducible component, algebraic variety.
An algebraic variety which has no singular point is said to be non-singular or smooth.
In mathematics, an algebraic surface is an algebraic variety of dimension two.
For an algebraic variety we construct a triangulated category which depends only on it 's birational class.
In algebraic geometry, an algebraic curve is an algebraic variety of dimension one.
Every algebraic variety is birational to a projective variety Chow 's lemma.
In mathematics, this notion is formalized as the dimension of a manifold or an algebraic variety.
An important difference is that an algebraic variety may have singular points, while a manifold can not.
Singular locus, the set of the singular points of an algebraic variety.
Suppose that X is a non-singular n-dimensional projective algebraic variety over the field Fq with q elements.
As g ( x, y ) is an absolutely irreducible polynomial, this is an algebraic variety.
In mathematics, a differential algebraic group is a differential algebraic variety with a compatible group structure.
In algebraic geometry, a 3-fold or threefold is a 3-dimensional algebraic variety.
Algebraic curve - In algebraic geometry, an algebraic curve is an algebraic variety of dimension one.
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