Affine varieties | Article about Affine varieties by The Free Dictionary
algebraic variety (redirected from Affine varieties)
algebraic variety[‚al·jə‚brā·ik və′rī·əd·ē]
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
Recall that a regular map [phi] : X [right arrow] Y of affine varieties
is called finite if C[X] is integral over C[Y].
We first prove a simple case of the well known method of restriction of scalars as it applies to counting points on affine varieties
over finite fields.