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On the algebraicity of germs of meromorphic functions
Published 24 Feb 2023 in math.CV and math.DS | (2302.12860v2)
Abstract: In this article we prove that every germ of analytic meromorphic function at $(\mathbb{C}{2},0)$ 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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