On gonality of Riemann surfaces

DOI10.1007/s10711-010-9459-xzbMath1213.14068OpenAlexW2142190866MaRDI QIDQ605056

Aaron Wootton, Grzegorz Gromadzki, Anthony Weaver

Publication date: 23 November 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-010-9459-x

zbMATH Keywords

Fuchsian groupshyperelliptic Riemann surfaces\(p\)-gonal Riemann surfaces\(p\)-hyperelliptic Riemann surfacesautomorphism groups of Riemann surfacesuniformization theorem

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli, classification: algebraic theory (14J10) Automorphisms of surfaces and higher-dimensional varieties (14J50) Classification theory of Riemann surfaces (30F20)

Related Items (11)

A family of \((p,n)\)-gonal Riemann surfaces with several \((p,n)\)-gonal groups ⋮ The gonality of Riemann surfaces under projections by normal coverings ⋮ Bring's curve: old and new ⋮ A geometric characterization of cyclic p-gonal surfaces ⋮ On the uniqueness of \((p, h)\)-gonal automorphisms of Riemann surfaces ⋮ On automorphisms groups of cyclic \(p\)-gonal Riemann surfaces ⋮ Uniformizations of stable \((\gamma ,n)\)-gonal Riemann surfaces ⋮ Double coverings of non-orientable Riemann surfaces ramified over discrete sets ⋮ On gonality automorphisms of \(p\)-hyperelliptic Riemann surfaces ⋮ A remark on \((p,n)\)-gonal quasiplatonic Riemann surfaces ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Uses Software

• GAP

Cites Work

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