Defining equations for cyclic prime covers of the Riemann sphere

DOI10.1007/s11856-006-0004-4zbMath1109.30036OpenAlexW2077690011MaRDI QIDQ877468

Aaron Wootton

Publication date: 23 April 2007

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

Full work available at URL: https://doi.org/10.1007/s11856-006-0004-4

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Related Items (13)

The full automorphism group of a cyclic \(p\)-gonal surface ⋮ On periodic self-homeomorphisms of closed orientable surfaces determined by their orders ⋮ On large prime actions on Riemann surfaces ⋮ On gonality of Riemann surfaces ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ On automorphisms groups of cyclic \(p\)-gonal Riemann surfaces ⋮ On \(pq\)-fold regular covers of the projective line ⋮ Multiple prime covers of the Riemann sphere ⋮ Maximal group actions on compact oriented surfaces ⋮ On cyclic \(p\)-gonal Riemann surfaces with several \(p\)-gonal morphisms ⋮ Topologically unique maximal elementary Abelian group actions on compact oriented surfaces ⋮ Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification ⋮ On the group algebra decomposition of a Jacobian variety

Uses Software

• GAP

Cites Work

• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
• The group of automorphisms of cyclic extensions of rational function fields
• On prime Galois coverings of the Riemann sphere
• Multiple prime covers of the Riemann sphere
• Loci of Curves Which are Prime Galois Coverings of P¹
• On extendability of group actions on compact Riemann surfaces
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Characters and Galois invariants of regular dessins.
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