algebraic variety

(redirected from Affine variety)

algebraic variety

[‚al·jə‚brā·ik və′rī·əd·ē]
(mathematics)
A set of points in a vector space that satisfy each of a set of polynomial equations with coefficients in the underlying field of the vector space.
References in periodicals archive ?
It is essential to construct also an affine variety corresponding to the ideal.
and we call V([f.sub.1], ..., [f.sub.s]) as the affine variety defined by [f.sub.1], ..., [f.sub.s].
Each component Irr[(G).sub.[OMEGA]] has the structure of a complex affine variety with finitely many components.
Note that [C.sup.x] = A\{0} can be seen as an affine variety. In fact, the map