Symmetries of Compact Riemann Surfaces / by Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki.

Format:

Book

Author/Creator:

Bujalance García, Emilio, author.

Cirre, Francisco Javier, author.

Gamboa, José Manuel, author.

Gromadzki, Grzegorz, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2007.

Lecture Notes in Mathematics, 0075-8434 ; 2007

Language:

English

Subjects (All):

Functions of complex variables.

Geometry, Algebraic.

Group theory.

Topology.

Functions of a Complex Variable.

Algebraic Geometry.

Group Theory and Generalizations.

Local Subjects:

Functions of a Complex Variable.

Algebraic Geometry.

Group Theory and Generalizations.

Topology.

Physical Description:

1 online resource (XX, 164 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783642148286

Access Restriction:

Restricted for use by site license.