On total reality of meromorphic functions

Details On total reality of meromorphic functions On total reality of meromorphic functions

2006-05-03

arxiv.org/abs/math/0605077v1

Ann. Inst. Fourier 57:5 (2007), 2015-2030

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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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