On the group of automorphisms of cyclic covers of the Riemann sphere

DOI10.1017/S0305004104008096zbMath1064.30038arXivmath/0310053OpenAlexW2963447483MaRDI QIDQ4673378

Denis Sjerve, Sadok Kallel

Publication date: 29 April 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310053

zbMATH Keywords

full automorphism groupBelyi coversextension of \({\mathbb Z}_{p}\)generalized Lefschetz curvesgroup actions on cycles covers

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Coverings in algebraic geometry (14E20) Automorphisms of curves (14H37) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (9)

The full automorphism group of a cyclic \(p\)-gonal surface ⋮ On Mordell-Weil groups of isotrivial abelian varieties over function fields ⋮ Hyperelliptic curves among cyclic coverings of the projective line. I ⋮ Full automorphism groups of large order of compact bordered Klein surfaces ⋮ Riemann surfaces of genus \(g\) with an automorphism of order \(p\) prime and \(p > g\) ⋮ Hyperelliptic curves among cyclic coverings of the projective line. II ⋮ Symmetry types of cyclic covers of the sphere ⋮ Group actions on cyclic covers of the projective line ⋮ On the existence of groups of automorphisms of compact Riemann and Klein surfaces

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