Lenses on very curved zones of a singular foliation of C2

We renormalize, using suitable lenses, small domains of a singular holomorphic foliation of C2 where the curvature is concentrated. At a proper scale, the leaves are almost translates of a graph that we will call profile. When the leaves of the foliations are levels f=λ, where f is a polynomial in 2 variables, this graph is polynomial. Finally we will indicate how our methods may be adapted to study levels of polynomials and 1-forms in C3.