Symmetries of Compact Riemann Surfaces [electronic resource] /
Bujalance, Emilio.author.
Cirre, Francisco Javier.author.
Gamboa, José Manuel(Gamboa Mutuberría)author.
Gromadzki, Grzegorz.author.
This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references (p. 151-155) and index.
Preliminaries -- On the Number of Conjugacy Classes of Symmetries of Riemann Surfaces -- Counting Ovals of Symmetries of Riemann Surfaces -- Symmetry Types of Some Families of Riemann Surfaces -- Symmetry Types of Riemann Surfaces with a Large Group of Automorphisms.
This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
Functions of complex variables.
Algebraic geometry.
Group theory.
Topology.
Functions of a Complex Variable.
Algebraic Geometry.
Group Theory and Generalizations.
Topology.