On the structure of connected components of the moduli spaces of compact Riemann surfaces

DOI10.1007/s13398-023-01447-1zbMath1522.14041OpenAlexW4376137678MaRDI QIDQ6100710

Jakub Szmelter, Grzegorz Gromadzki

Publication date: 22 June 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-023-01447-1

zbMATH Keywords

branch locussingular locusmoduli space of compact Riemann surfacesequisymmetric stratification

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Families, moduli of curves (analytic) (14H15)

Cites Work

• Maximal group actions on compact oriented surfaces
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• p-Groups acting on Riemann surfaces
• The irreducibility of the space of curves of a given genus
• On the connectivity of branch loci of moduli spaces
• On the connectedness of the branch locus of the moduli space of Riemann surfaces of low genus
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• Finitely Maximal Fuchsian Groups
• Action of Automorphisms of a Compact Riemann Surface on the First Homology Group
• Maximal Fuchsian groups
• On the connectedness of the branch locus of the moduli space of Riemann surfaces

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