TY - BOOK AU - Bujalance,Emilio AU - Cirre,Francisco Javier AU - Gamboa,José Manuel AU - Gromadzki,Grzegorz ED - SpringerLink (Online service) TI - Symmetries of Compact Riemann Surfaces T2 - Lecture Notes in Mathematics, SN - 9783642148286 AV - QA331-355 U1 - 515.9 23 PY - 2010/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Geometry, algebraic KW - Group theory KW - Functions of complex variables KW - Topology KW - Functions of a Complex Variable KW - Algebraic Geometry KW - Group Theory and Generalizations N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-14828-6 ER -