Riemann surfaces defined over the reals
Algebraic Geometry
2017-05-26 v2
Abstract
The known (explicit) examples of Riemann surfaces not definable over their field of moduli are not real whose field of moduli is a subfield of the reals. In this paper we provide explicit examples of real Riemann surfaces which cannot be defined over the field of moduli.
Cite
@article{arxiv.1508.03029,
title = {Riemann surfaces defined over the reals},
author = {Eslam Badr and Ruben A. Hidalgo and Saul Quispe},
journal= {arXiv preprint arXiv:1508.03029},
year = {2017}
}
Comments
In this new version, Eslam Badr has been added as a coauthor and the examples provided in the previous version has been generalised