algebraic variety

(redirected from Affine curve)

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 ?
o]] is a smooth affine curve over k we may define Y0 to be the compactification of [Y.
0]) [omicron] is a smooth affine curve over k, so we may define [X'.