1.

Record Nr.

UNINA9910482967303321

Titolo

Symmetries of compact riemann surfaces / / Emilio Bujalance ... [et al.]

Pubbl/distr/stampa

Heidelberg, : Springer, 2010

ISBN

9786613569776

9781280391859

1280391855

9783642148286

364214828X

Edizione

[1st ed. 2010.]

Descrizione fisica

1 online resource (XX, 164 p.)

Collana

Lecture notes in mathematics, , 0075-8434 ; ; 2007

Altri autori (Persone)

Bujalance GarciaEmilio

Disciplina

515.9

Soggetti

Riemann surfaces

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.