On total reality of meromorphic functions
Algebraic Geometry
2010-01-25 v1
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.
Cite
@article{arxiv.math/0605077,
title = {On total reality of meromorphic functions},
author = {A. Degtyarev and T. Ekedahl and I. Itenberg and B. Shapiro and M. Shapiro},
journal= {arXiv preprint arXiv:math/0605077},
year = {2010}
}
Comments
13 pages