Moduli spaces for covers of the Riemann sphere

DOI10.1007/BF02758650zbMath0809.12006MaRDI QIDQ1320041

Helmut Voelklein

Publication date: 21 July 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli spacesArtin braid grouptopological coveringcovers of the Riemann sphereHurwitz braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30)

Related Items

Topological types of actions on curves ⋮ Families of finite coverings of the Riemann sphere ⋮ A GAP Package for Braid Orbit Computation and Applications ⋮ Hurwitz spaces and braid group representations ⋮ The lift invariant distinguishes components of Hurwitz spaces for $A_5$ ⋮ The inverse Galois problem over formal power series fields

Cites Work

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• Braid group action via \(\text{GL}_ n(q)\) and \(\text{U}_ n(q)\), and Galois realizations
• \(\mathrm{GL}_n (q)\) as Galois group over the rationals
• The inverse Galois problem and rational points on moduli spaces
• Zopfgruppen und Einbettungsprobleme. (Braid groups and embedding problems)
• The embedding problem over a Hilbertian PAC-field
• The red book of varieties and schemes
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Theory of braids
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Zöpfe und Galoissche Gruppen.