On total reality of meromorphic functions
classification
🧮 math.AG
keywords
meromorphicrealfunctionalgebraicarbitraryautomorphismconjugatecritical
read the original abstract
We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorphic function after a suitable projective automorphism of the image.
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