Symmetries of Compact Riemann Surfaces

• Main Authors: Bujalance, Emilio (Author), Cirre, Francisco Javier (Author), Gamboa, José Manuel (Author), Gromadzki, Grzegorz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 2007
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Functions of complex variables.; Topology.; Functions of a Complex Variable.; Algebraic Geometry.; Group Theory and Generalizations.

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 monog...

Table of Contents:

• 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.