On codimension one foliations with prescribed cuspidal separatrix
Dynamical Systems
2013-06-21 v1
Abstract
In this paper, we will construct a pre-normal form for germs of codimension one holomorphic foliation having a particular type of separatrix, of cuspidal type. We will also give a sufficient condition, in the quasi-homogeneous, three-dimensional case, for these foliations to be of generalized surface type.
Keywords
Cite
@article{arxiv.1306.4695,
title = {On codimension one foliations with prescribed cuspidal separatrix},
author = {Percy Fernández-Sánchez and Jorge Mozo-Fernández and Hernán Neciosup},
journal= {arXiv preprint arXiv:1306.4695},
year = {2013}
}
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16 pages