An affine variety V is an algebraic variety contained in affine space. For example, {(x, y, z):x^2 + y^2 - z^2 = 0} is the cone, and {(x, y, z):x^2 + y^2 - z^2 = 0, a x + b y + c z = 0}

affine scheme | algebraic set | algebraic variety | category theory | commutative algebra | conic section | Gröbner basis | scheme | Zariski topology