Field of moduli versus field of definition for cyclic covers of the projective line

DOI10.5802/jtnb.694zbMath1201.14020OpenAlexW2075716090MaRDI QIDQ988070

Aristides I. Kontogeorgis

Publication date: 25 August 2010

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2009__21_3_679_0

zbMATH Keywords

automorphism groupfield of definitionfield of moduli

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (13)

p-Groups acting on Riemann surfaces ⋮ Automorphism groups of pseudoreal Riemann surfaces ⋮ On large prime actions on Riemann surfaces ⋮ A remark on the field of moduli of Riemann surfaces ⋮ Fields of moduli of some special curves ⋮ Fields of moduli and fields of definition of odd signature curves ⋮ The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves ⋮ A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI ⋮ Riemann surfaces defined over the reals ⋮ On the field of moduli of superelliptic curves ⋮ Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves ⋮ Weil’s Galois descent theorem from a computational point of view ⋮ Field of moduli of generalized Fermat curves of type \((k, 3)\) with an application to non-hyperelliptic dessins d'enfants

Cites Work

• The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves
• Algebraic function fields and codes
• The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\)
• On fields of moduli of curves
• The group of automorphisms of cyclic extensions of rational function fields
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. I: Eine Abschätzung der Ordnung der Automorphismengruppe
• On the automorphism group of Fermat fields
• Fields of moduli of hyperelliptic curves
• On cyclic covers of the projective line
• The Field of Definition of a Variety
• Algebraic covers: Field of moduli versus field of definition
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