On the orbifold structure of the moduli space of Riemann surfaces of genera four and five

DOI10.1007/s13398-013-0140-8zbMath1297.14031OpenAlexW2092781827MaRDI QIDQ740724

Milagros Izquierdo, Gabriel Bartolini, Antonio F. Costa

Publication date: 9 September 2014

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: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-78016

zbMATH Keywords

Riemann surfacesTeichmüller spacemoduli spacesFuchsian groupsequisymmetric stratificationorbifold structure

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15) Stratifications in topological manifolds (57N80) Cellularity in topological manifolds (57N60)

Related Items (12)

One-dimensional families of Riemann surfaces of genus g with \(4\mathrm {g}+4\) automorphims ⋮ Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces ⋮ A SAGE Package for n-Gonal Equisymmetric Stratification of ⋮ On Riemann surfaces of genus \(g\) with \(4g-4\) automorphisms ⋮ Abelian varieties and Riemann surfaces with generalized quaternion group action ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ One dimensional equisymmetric strata in moduli space with genus 1 quotient surfaces ⋮ On families of Riemann surfaces with automorphisms ⋮ A note on large automorphism groups of compact Riemann surfaces ⋮ Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification ⋮ Limit points of the branch locus of \(\mathcal{M}_g\) ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the real nerve of the moduli space of complex algebraic curves of even genus
• Groups of automorphisms of cyclic trigonal Riemann surfaces
• Classifying finite group actions on surfaces of low genus
• On Riemann surfaces with non-unique cyclic trigonal morphism
• Automorphism groups of compact Riemann surfaces of genus five
• Applications of a theorem of singerman about Fuchsian groups
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• Classifying the actions of finite groups on orientable surfaces of genus 4
• Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4
• Hyperelliptic surfaces and their moduli
• On some Galois invariants of branched coverings
• Maximal order of automorphisms of trigonal Riemann surfaces
• Finite abelian subgroups of the mapping class group
• On symmetries of compact Riemann surfaces with cyclic groups of automorphisms
• Abelian actions on 2-manifolds
• ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4
• Isolated points in the branch locus of the moduli space of compact Riemann surfaces
• On extendability of group actions on compact Riemann surfaces
• EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4
• On the connectedness of the branch locus of the moduli space of Riemann surfaces of low genus
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Finitely Maximal Fuchsian Groups
• On the connectedness of the branch locus of the moduli space of Riemann surfaces

This page was built for publication: On the orbifold structure of the moduli space of Riemann surfaces of genera four and five