On the algebraicity of germs of meromorphic functions
Complex Variables
2023-05-04 v2 Dynamical Systems
Abstract
In this article we prove that every germ of analytic meromorphic function at is equivalent, under the right composition by a germ of biholomorphism, to a germ of algebraic meromorphic function. An analogous result is also true for real analytic meromorphic functions.
Cite
@article{arxiv.2302.12860,
title = {On the algebraicity of germs of meromorphic functions},
author = {Yohann Genzmer and Rogério Mol},
journal= {arXiv preprint arXiv:2302.12860},
year = {2023}
}