On total reality of meromorphic functions
Date
2007
Authors
Degtyarev, A.
Ekedahl, T.
Itenberg, I.
Shapiro, B.
Shapiro, M.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Annales de l ' Institut Fourier
Print ISSN
Electronic ISSN
1777-5310
Publisher
Association des Annales de l ' Institut Fourier
Volume
57
Issue
6
Pages
2015 - 2030
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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 by a suitable projective automorphism of the image.