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arXiv · 2401.05287

Computing the Field of moduli of some non-hyperelliptic pseudo-real curves

Ruben A. Hidalgo
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Abstract

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 $k \geq 2$, we consider a suitable $2$-real parameter family of non-hyperelliptic pseudo-real Riemann surfaces of genus $g=1+(2k-3)k^{4}$. For each of them, we compute its field of moduli and also a minimal field of definition.

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Ruben A. Hidalgo. 2024-01-10. Computing the Field of moduli of some non-hyperelliptic pseudo-real curves. https://arxiv.org/abs/2401.05287

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