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A simple fundamental group of an hypersurface

Is there an example of analytic hypersurface in $C^n$ such that its fundamental group is simple i.e. does not have normal subgroups except the trivial group and the group itself ?

Thank you

EDIT : The fundamental of a hypersurface $A$ is by definition the group of its complement $\pi_1(C^n \setminus A)$.