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Symmetries of Compact Riemann Surfaces

Lecture Notes in Mathematics 2007

Bujalance, Emilio/Cirre, Francisco Javier/Gamboa, José Manuel et al
Erschienen am 06.10.2010, Auflage: 1/2010
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Bibliografische Daten
ISBN/EAN: 9783642148279
Sprache: Englisch
Umfang: xx, 164 S.
Einband: kartoniertes Buch

Beschreibung

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.

Inhalt

1 Preliminaries.- 2 Number of Conjugacy Classes of Symmetries.- 3 Counting Ovals of Symmetries.- 4 Symmetry Types of some Families of Riemann Surfaces.- 5 Symmetry Types of Riemann Surfaces with a Large Group of Automorphisms.- 6 Appendix