On Compact Riemann Surfaces With A Maximal Number Of Automorphisms

On Compact Riemann Surfaces with a Maximal Number of Automorphisms

Characters and Automorphism Groups of Compact Riemann Surfaces

Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

Symmetries of Compact Riemann Surfaces

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.