On Lifting the Hyperelliptic Involution

DOI10.2307/2161022zbMath0859.14012OpenAlexW4254857603MaRDI QIDQ4313322

Robert D. M. Accola

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161022

zbMATH Keywords

elliptic hyperelliptic Riemann surfacenon-Galois covering

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (15)

On the Farkas and Accola theorems for graphs ⋮ Lifting a symmetry of a Riemann surface ⋮ On quadratic points of classical modular curves ⋮ A necessary and sufficient condition for lifting the hyperelliptic involution ⋮ The equivalence classes of holomorphic mappings of genus 3 Riemann surfaces onto genus 2 Riemann surfaces ⋮ Double coverings of non-orientable Riemann surfaces ramified over discrete sets ⋮ On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus ⋮ Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus ⋮ Normal coverings of hyperelliptic real algebraic curves ⋮ Lifting the hyperelliptic involution of a Klein surface ⋮ Dihedral monodromy and Xiao fibrations ⋮ Bielliptic intermediate modular curves ⋮ Discrete analogs of Farkas and Accola's theorems on hyperelliptic coverings of a Riemann surface of genus 2 ⋮ Double coverings of Klein surfaces by a given Riemann surface ⋮ A generalization of Hurwitz' theorem for groups acting on a graph

Cites Work

• Unnamed Item
• Normal coverings of hyperelliptic Riemann surfaces
• Unramified double coverings of hyperelliptic surfaces
• Automorphisms of compact Riemann surfaces and the vanishing of theta constants
• Riemann Surfaces with Automorphism Groups Admitting Partitions
• SMOOTH COVERINGS OF HYPERELLIPTIC SURFACES

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