Irreducibility of the space of dihedral covers of the projective line of a given numerical type

DOI10.4171/RLM/601zbMath1268.14025arXiv1102.0490OpenAlexW2962947913MaRDI QIDQ413809

Fabio Perroni, Michael Lönne, Fabrizio Catanese

Publication date: 8 May 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0490

zbMATH Keywords

Riemann surfacesHurwitz spacecurvesGalois coveringdihedral coverings

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (21)

The locus of curves with \(D_n\)-symmetry inside \(\mathfrak M_g\) ⋮ Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ Shimura curves in the Prym loci of ramified double covers ⋮ Irreducible components of Hurwitz spaces of coverings with two special fibers ⋮ On Shimura subvarieties generated by families of abelian covers of \(\mathbb{P}^1\) ⋮ Topological methods in moduli theory ⋮ On the structure of metabelian Galois coverings of complex algebraic varieties ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ On the motivic class of the moduli stack of twisted \(G\)-covers ⋮ The irreducible components of the moduli space of dihedral covers of algebraic curves ⋮ On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type ⋮ Topological types of actions on curves ⋮ Billiards, quadrilaterals and moduli spaces ⋮ On the bielliptic and bihyperelliptic loci ⋮ Shimura curves in the Prym locus ⋮ Classification of degree two curves in the symmetric square with positive self-intersection ⋮ The lift invariant distinguishes components of Hurwitz spaces for $A_5$ ⋮ Cyclic covers of stable curves and their moduli spaces ⋮ Some evidence for the Coleman-Oort conjecture ⋮ Double Kodaira fibrations with small signature ⋮ Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups

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