On total reality of meromorphic functions
A. Degtyarev, T. Ekedahl, I. Itenberg, B. Shapiro, M. Shapiro
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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