Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces

DOI10.2307/2154274zbMath0784.32017OpenAlexW4234145428MaRDI QIDQ4038478

John F. X. Ries

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2154274

zbMATH Keywords

Riemann surfacesmoduli spaceautomorphisms

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Rational and birational maps (14E05) Differentials on Riemann surfaces (30F30)

Related Items (8)

The locus of curves with \(D_n\)-symmetry inside \(\mathfrak M_g\) ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ Topological methods in moduli theory ⋮ A database of group actions on Riemann surfaces ⋮ On uniqueness of automorphisms groups of Riemann surfaces ⋮ Exceptional points in the elliptic-hyperelliptic locus ⋮ Finite group actions on bordered surfaces of small genus ⋮ On automorphisms of algebraic curves

Cites Work

• On the classification of generic branched coverings of surfaces
• On automorphism groups of a curve as linear groups
• Holomorphic families of compact Riemann surfaces with automorphisms
• The Homology and Higher Representations of the Automorphism Group of a Riemann Surface
• The Prym variety for a cyclic unramified cover of a hyperelliptic Riemann surface.
• On Mapping-Class Groups and Teichmüller Spaces
• Spaces of Subgroups and Teichmüller Space
• On Analytic Families of Compact Riemann Surfaces with Non-Trivial Automorphisms
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Stratifikation von Quotientenmannigfaltigkeiten (in Charakteristik 0) und insbesondere der Modulmannigfaltigkeiten für Kurven.
• Finitely Maximal Fuchsian Groups
• The Nielsen realization problem
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