ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4

DOI10.1017/S0017089510000091zbMath1195.30064MaRDI QIDQ3564623

Milagros Izquierdo, Antonio F. Costa

Publication date: 26 May 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

branch locusgenus 4 surface

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Families, moduli of curves (analytic) (14H15)

Related Items (13)

On large prime actions on Riemann surfaces ⋮ Topologically singular points in the moduli space of Riemann surfaces ⋮ Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces ⋮ ON THE CONNECTEDNESS OF THE BRANCH LOCI OF NON-ORIENTABLE UNBORDERED KLEIN SURFACES OF LOW GENUS ⋮ A database of group actions on Riemann surfaces ⋮ Automorphism groups of pseudo-real Riemann surfaces of low genus ⋮ On the connectedness of the branch locus of the moduli space of Riemann surfaces of low genus ⋮ On the connectedness of the branch locus of the moduli space of Riemann surfaces ⋮ On the connectedness of the branch loci of moduli spaces of orientable Klein surfaces ⋮ On the orbifold structure of the moduli space of Riemann surfaces of genera four and five ⋮ Limit points of the branch locus of \(\mathcal{M}_g\) ⋮ Connecting \(p\)-gonal loci in the compactification of moduli space ⋮ On the connectedness of the branch locus of moduli space of hyperelliptic Klein surfaces with one boundary

Cites Work

• Classifying finite group actions on surfaces of low genus
• On Riemann surfaces with non-unique cyclic trigonal morphism
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4
• Abelian actions on 2-manifolds
• Isolated points in the branch locus of the moduli space of compact Riemann surfaces
• EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Finitely Maximal Fuchsian Groups
• Unnamed Item

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