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Symmetries of Compact Riemann Surfaces de Emilio Bujalance

Symmetries of Compact Riemann Surfaces: Lecture Notes in Mathematics, cartea 2007

Autor Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki
en Limba Engleză Paperback – 6 oct 2010

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Specificații

ISBN-13: 9783642148279
ISBN-10: 3642148271
Pagini: 176
Ilustrații: XX, 164 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.27 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

From the reviews:
“The monograph under review is primarily a survey of recent advances in the theory of symmetries of compact Riemann surfaces. It also provides a number of new interesting developments and different methods of proof for some of the recent and classical results in this area as well as a number of illustrative and detailed examples highlighting these results. With its informative and well-written introduction and a substantial preliminaries section, this monograph is ideal for both beginners to the area and current researchers.” (Aaron D. Wootton, Mathematical Reviews, Issue 2011 h)

Textul de pe ultima copertă

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.

Caracteristici

The monograph deals with topics of increasing research interest nowadays. Suitable for graduate level. Numerous results scattered across the literature are collected together. Includes supplementary material: sn.pub/extras