Existence of non-algebraic singularities of differential equation
Dynamical Systems
2012-11-13 v2
Abstract
An algebraizable singularity is a germ of a singular holomorphic foliation which can be defined in some appropriate local chart by a differential equation with algebraic coefficients. We show that there exists at least countably many saddle-node singularities of the complex plane that are not algebraizable.
Keywords
Cite
@article{arxiv.0902.2868,
title = {Existence of non-algebraic singularities of differential equation},
author = {Yohann Genzmer and Loïc Teyssier},
journal= {arXiv preprint arXiv:0902.2868},
year = {2012}
}
Comments
11 pages