Just a quick terminology question.
The set of solutions to a linear system of equations with nonunique solutions is known as the "nullspace".
What is the equivalent terminology (if there is one) for the nonunique solutions to a nonlinear system of equations? (or its equivalent Groebner basis)
For example: $ \begin{align} &x_{1} + x_{2}^{2} + 3x_{3}= 0\\ &x_{3} = 2 \end{align} $
Is there a name this set of solutions? The solutions of the above system is: $ \begin{align} &x_{1} = -6 -t^{2}\\ &x_{2} = t\\ &x_{3} = 2 \end{align} $