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Symmetries of Compact Riemann Surfaces [electronic resource] / by Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki.

By: Bujalance, Emilio [author.].
Contributor(s): Cirre, Francisco Javier [author.] | Gamboa, José Manuel [author.] | Gromadzki, Grzegorz [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2007Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: XX, 158p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642148286.Subject(s): Mathematics | Geometry, algebraic | Group theory | Functions of complex variables | Topology | Mathematics | Functions of a Complex Variable | Algebraic Geometry | Group Theory and Generalizations | TopologyDDC classification: 515.9 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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