  The prime motivation behind this paper is to prove that any torus link
$\mathcal{L}$ can be realized as the union of the one-dimensional connected
components of the set of critical values of the argument map restricted to a
complex algebraic plane curve. Moreover, given an isolated complex algebraic
plane curve quasi-homogeneous singularity, we give an explicit topological and
geometric description of the link $\mathcal{L}$ corresponding to this
singularity. In other words, we realize this link as the union of the
one-dimensional connected components of the set critical values of the argument
map restricted to the intersection of the curve with a four-dimensional ball of
a sufficiently small radius, centered at the given singularity. This
established the first relationship between (co)amoebas and knot theory.
