Lenses on very curved zones of a singular foliation of \(\mathbb{C}^2\)
The authors renormalize, using suitable lenses, small domains of a singular holomorphic foliation of \(\mathbb{C}^2\) where the curvature is concentrated. At a proper scale, the leaves are almost translates of a graph that the authors call profile. When the leaves of the foliations are levels \(f =\lambda\), where \(f\) is a polynomial in \(2\) variables, this graph is polynomial. They also indicate in this paper how their methods may be adapted to study \(3\) levels of polynomials and 1-forms in \(\mathbb{C}^{3}\).
scientific article; zbMATH DE number 6822565