Riemann surfaces defined over the reals

2015/08/12 by Badr, Eslam, Hidalgo, Ruben A., Quispe, Saul
#14H37 #14H45 #30F10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.03029

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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