Browsing by Subject "Real curves on ellipsoid"

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    On total reality of meromorphic functions
    (Association des Annales de l ' Institut Fourier, 2007) Degtyarev, A.; Ekedahl, T.; Itenberg, I.; Shapiro, B.; Shapiro, M.
    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 by a suitable projective automorphism of the image.