The Symmetry Type of a Riemann Surface

DOI10.1112/plms/s3-51.3.501zbMath0545.30032OpenAlexW2066110238MaRDI QIDQ3336028

David Singerman, Bujalance, Emilio

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1112/plms/s3-51.3.501

zbMATH Keywords

symmetryautomorphism groupspeciesreal curvesymmetry typenon-Euclidean crystallographic group

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Real algebraic and real-analytic geometry (14Pxx)

Related Items (22)

On the topological types of symmetries of elliptic-hyperelliptic Riemann surfaces ⋮ Non-commuting pairs of symmetries of Riemann surfaces ⋮ Symmetries of Riemann surfaces on which \(\text{PSL}(2,q)\) acts as a Hurwitz automorphism group ⋮ On the real nerve of the moduli space of complex algebraic curves of even genus ⋮ Homology and orientation reversing periodic maps on surfaces ⋮ Automorphisms group of generalized Fermat curves of type \((k, 3)\) ⋮ Automorphism groups of complex doubles of Klein surfaces ⋮ Conjugacy classes of reflections of maps ⋮ Groups of small symmetric genus ⋮ Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms ⋮ Riemann surfaces with maximal real symmetry ⋮ Exceptional points in the elliptic-hyperelliptic locus ⋮ Complex automorphism groups of real algebraic curves of genus 2 ⋮ Bolza Quaternion Order and Asymptotics of Systoles Along Congruence Subgroups ⋮ Complex doubles of bordered Klein surfaces with maximal symmetry ⋮ Reflections of regular maps and Riemann surfaces ⋮ One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions ⋮ Classifying finite group actions on surfaces of low genus ⋮ Fixed points of imaginary reflections on hyperbolic handlebodies ⋮ A NEW CHARACTERIZATION OF WIMAN SURFACES ⋮ Dyck’s surfaces, systoles, and capacities ⋮ Some results on Teichmüller spaces of Klein surfaces

This page was built for publication: The Symmetry Type of a Riemann Surface