2 papers
math.AG2024
Computing the Field of moduli of some non-hyperelliptic pseudo-real curves
Ruben A. Hidalgo
The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer , we consider a suitabl…
math.AG2012
Curves which cannot be defined over an extension of degree at most two over the field of moduli
Ruben A. Hidalgo, Yolanda Fuertes
It has been conjectured that every algebraic curve may be defined either over its field of moduli or over an extension of degree two of it. In this paper we provide a negative answ…