The locus of curves with \(D_n\)-symmetry inside \(\mathfrak M_g\)

DOI10.1007/s12215-015-0216-8zbMath1346.14070arXiv1508.04264OpenAlexW2416799913MaRDI QIDQ276279

Binru Li, Sascha Weigl

Publication date: 3 May 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04264

zbMATH Keywords

Teichmüller spacemoduli space of curvesHurwitz vector

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Coverings of curves, fundamental group (14H30) Families, moduli of curves (analytic) (14H15)

Related Items (1)

Cyclic covers of stable curves and their moduli spaces

Cites Work

• Irreducibility of the space of dihedral covers of the projective line of a given numerical type
• Topological methods in moduli theory
• The irreducible components of the moduli space of dihedral covers of algebraic curves
• On the locus of curves with automorphisms
• Geometry of Algebraic Curves
• Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces
• On compact Riemann surfaces with dihedral groups of automorphisms
• Hurwitz spaces of quadruple coverings of elliptic curves and the modulispace of abelian threefolds 𝒜₃(1, 1, 4)
• Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
• Finitely Maximal Fuchsian Groups

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