Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals
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Publication:1038677
DOI10.1007/s00013-009-0025-4zbMath1180.14028OpenAlexW2083935089MaRDI QIDQ1038677
Publication date: 20 November 2009
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-009-0025-4
Compact Riemann surfaces and uniformization (30F10) Special algebraic curves and curves of low genus (14H45) Automorphisms of curves (14H37)
Related Items (15)
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 ⋮ Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2 ⋮ On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ 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 ⋮ Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann surfaces ⋮ Automorphism groups of symmetric and pseudo-real Riemann surfaces ⋮ Field of moduli of generalized Fermat curves of type \((k, 3)\) with an application to non-hyperelliptic dessins d'enfants
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