I'm working on some problem in algebraic geometry. I need a reference to the following result:

Let $h\in\mathbb{N}$ with $h\geq1$ and let $F\in\mathbb{C}\left[x_{1},\ldots,x_{h}\right]$ be a non zero polynomial. The complement manifold $\mathbb{C}^{h}\setminus\left\lbrace F=0\right\rbrace$ is a nonempty open connected subspace of $\mathbb{C}^{h}.$

Probably this is contained in some old work of Zariski (or even older). Please do not esitate to suggest me some bibliographical references.