Explore: Algebraic Varieties

Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as

In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called

In universal algebra, a variety of algebras or equational class is the class of all algebraic structures of a given signature satisfying a given set of

affine varieties are called affine algebraic curves, while two-dimensional ones are affine algebraic surfaces. Some texts use the term variety for any

all algebraic varieties are complex algebraic varieties. A key feature of the theory of complex projective varieties is the combination of algebraic and

In mathematics and specifically in algebraic geometry, the dimension of an algebraic variety may be defined in various equivalent ways. Some of these

varieties, which are the algebraic groups whose underlying variety is a projective variety. Chevalley's structure theorem states that every algebraic

different aspects. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems

mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry

In the mathematical field of algebraic geometry, a singular point of an algebraic variety V is a point P that is 'special' (so, singular), in the geometric