1.

Record Nr.

UNISA996466522903316

Autore

Bujalance Emilio

Titolo

Symmetries of Compact Riemann Surfaces [[electronic resource] /] / by Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010

ISBN

1-280-39185-5

9786613569776

3-642-14828-X

Edizione

[1st ed. 2010.]

Descrizione fisica

1 online resource (XX, 164 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2007

Disciplina

515.9

Soggetti

Functions of complex variables

Algebraic geometry

Group theory

Topology

Functions of a Complex Variable

Algebraic Geometry

Group Theory and Generalizations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 151-155) and index.

Nota di contenuto

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.

Sommario/riassunto

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.