On the irreducibility of the space of Galois covers of curves of a given numerical type for certain split metacyclic groups

DOI10.1016/j.topol.2018.06.011zbMath1400.14077OpenAlexW2810980233MaRDI QIDQ724260

Sascha Weigl

Publication date: 25 July 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.06.011

zbMATH Keywords

braid groupsmonodromymoduli spaces of curvesbranched coverings of Riemann surfacesHurwitz equivalence

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Families, moduli of curves (algebraic) (14H10) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Cites Work

• Topological methods in moduli theory
• The irreducible components of the moduli space of dihedral covers of algebraic curves
• Surface symmetry. II
• Surfaces and the second homology of a group
• Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
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