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- W4224883206 abstract "We study one variable meromorphic functions mapping a planar real algebraic set $A$ to another real algebraic set in the complex plane. By using the theory of Schwarz reflection functions, we show that for certain $A$, these meromorphic functions must be rational. In particular, when $A$ is the standard unit circle, we obtain an one dimensional analog of Poincar'e(1907), Tanaka(1962) and Alexander(1974)'s rationality results for $2m-1$ dimensional sphere in $mathbb{C}^m$ when $mge 2$." @default.
- W4224883206 created "2022-04-27" @default.
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- W4224883206 date "2022-04-14" @default.
- W4224883206 modified "2023-09-26" @default.
- W4224883206 title "Rationality of meromorphic functions between real algebraic sets in the plane" @default.
- W4224883206 doi "https://doi.org/10.48550/arxiv.2204.06753" @default.
- W4224883206 hasPublicationYear "2022" @default.
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