Lenses on very curved zones of a singular foliation of \(\mathbb{C}^2\)
type: Item
instance of: scholarly article
title: Lenses on very curved zones of a singular foliation of \(\mathbb{C}^2\)
zbMATH Open document ID: 1441.14097
author: Rémi Langevin
author: Jean-Claude Sifre
published in: Topology and its Applications
publication date: 2018-01-05T00:00:00Z
review text: 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 \(\mathbb{C}^{3}\).
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 6822565
zbMATH Keywords: isolated singularity
zbMATH Keywords: complex curve
zbMATH Keywords: complex foliation
zbMATH Keywords: profile
reviewed by: Nivaldo G. Jun Grulha
MaRDI profile type: Publication
full work available at URL: j.topol.2017.11.019
OpenAlex ID: W2775808362
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DOI: 10.1016/J.TOPOL.2017.11.019
description: scientific article; zbMATH DE number 6822565