Symmetries of compact Riemann surfaces
Symmetries of compact Riemann surfaces By Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki (auth.)
2010 | 164 Pages | ISBN: 3642148271 | PDF | 2 MB
2010 | 164 Pages | ISBN: 3642148271 | PDF | 2 MB
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.