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arXiv · 1508.03029

Riemann surfaces defined over the reals

Eslam Badr·Ruben A. Hidalgo·Saul Quispe
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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.

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Eslam Badr, Ruben A. Hidalgo, Saul Quispe. 2015-08-12. Riemann surfaces defined over the reals. https://arxiv.org/abs/1508.03029

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