Consider the polynomial System $F(x)-c=0,$ where $F:\mathbb{C}^n \rightarrow \mathbb{C}^n.$ Is it true that for almost all values of $c\in \mathbb{C}^n,$ the polynomial system will only have isolated solutions? Or in other words, for almost all values of $c,$ it will not a solution of positive dimension.
Solution Set of a Polynomial System
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algebraic-geometry
polynomials