On the algebraicity of germs of meromorphic functions

2023/02/24 by Yohann Genzmer, Genzmer, Yohann, Rogério Mol +1 · 1 citation
Mathematics · #Meromorphic and Entire Functions #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2302.12860

Abstract

In this article we prove that every germ of analytic meromorphic function at (ℂ²,0) 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.

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• Ploski Approximation Theorem

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