A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI

DOI10.1017/S0017089516000227zbMath1369.30041MaRDI QIDQ2981907

Michela Artebani, Saúl Quispe, M. Carvacho, Rubén A. Hidalgo

Publication date: 10 May 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacefield of definitionfield of moduli

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Classification theory of Riemann surfaces (30F20)

Related Items (2)

Riemann surfaces defined over the reals ⋮ Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves

Cites Work

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• Asymmetric and pseudo-symmetric hyperelliptic surfaces
• Automorphism groups of compact Riemann surfaces of genera three and four
• Automorphism groups of compact Riemann surfaces of genus five
• Generalized Humbert curves
• Field of moduli versus field of definition for cyclic covers of the projective line
• Generalized Fermat curves
• Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals
• Fields of moduli of hyperelliptic curves
• HOMOLOGY CLOSED RIEMANN SURFACES
• The Field of Definition of a Variety
• Polarized Varieties, Fields of Moduli and Generalized Kummer Varieties of Polarized Abelian Varieties
• On the Field of Rationality for an Abelian Variety
• The Fields of Moduli for Polarized Abelian Varieties and for Curves

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