Amoebas (resp. Coamoebas) are the image of analytic subsets of the complex algebraic torus under the logarithmic map (resp. argument map) coordinate-wise. In this talk, we open a way relating deformations of class of germs of complex algebraic plane curves diffeomorphisms to rearrangement of links. Indeed, we realize any torus link 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. This gives the first relationship between knot theory and coamoebas theory. Moreover, it gives an explicit description of the topology and geometry of links corresponding to singularities.