6533b7d1fe1ef96bd125cc4a
RESEARCH PRODUCT
Lenses on very curved zones of a singular foliation of C2
Jean-claude SifreRémi Langevinsubject
Isolated singularity[ MATH ] Mathematics [math]Complex curvePolynomialPure mathematics010102 general mathematicsHolomorphic functionIsolated singularityCurvature01 natural sciencesComplex foliationGraphMSC: 14H20; 14B05; 53C65; 53C120103 physical sciencesFoliation (geology)Profile010307 mathematical physicsGeometry and Topology[MATH]Mathematics [math]0101 mathematicsMathematicsdescription
Abstract 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 = 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 C 3 .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-02-01 | Topology and its Applications |