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Article Dans Une Revue Topology and its Applications Année : 2018

Lenses on very curved zones of a singular foliation of $C^2$

Résumé

We renormalize, using suitable lenses, small domains of a singular holomorphic foliation of $C^2$ 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 $f = \lambda$ 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 $C^3$

Dates et versions

hal-01674696 , version 1 (03-01-2018)

Identifiants

Citer

Rémi Langevin, Jean-Claude Sifre. Lenses on very curved zones of a singular foliation of $C^2$. Topology and its Applications, 2018, 234, pp.397-414. ⟨10.1016/j.topol.2017.11.019⟩. ⟨hal-01674696⟩
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