ENGLISH

Symmetries of Compact Riemann Surfaces

By Emilio Bujalance , Jose Manuel Gamboa , Francisco Javier Cirre , Grzegorz Gromadzki (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642148271, 9783642148279
DOI
10.1007/978-3-642-14828-6
Language
english
Format
PDF
Filesize
1 MB (1185491 bytes)
Series
Lecture Notes in Mathematics 2007
Edition
1
Pages
164\185
Time added
2011-06-04 13:46:07
Functions of a Complex Variable; Algebraic Geometr

Description

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.

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