A remark on the field of moduli of Riemann surfaces

Rubeén A. Hidalgo

Let $S$ be a closed Riemann surface of genus $g\ge 2$ and let $\mathrm{Aut}(S)$ be its group of conformal automorphisms. It is well known that if either: (i) $\mathrm{Aut}(S)$ is trivia…