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Mathematics - Analysis | Symmetries of Compact Riemann Surfaces

Symmetries of Compact Riemann Surfaces

Series: Lecture Notes in Mathematics, Vol. 2007

Bujalance, E., Cirre, F.J., Gamboa, J.M., Gromadzki, G.

2010, XX, 158p.

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  • Deals with topics of increasing research interest   
  • Suitable for graduate level
  • Collects numerous results that are scattered across the literature  
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.

Content Level » Research

Keywords » Automorphism Group - Real form - Riemann Surface - Riemann surfaces - Symmetry - Topological type

Related subjects » Algebra - Analysis - Geometry & Topology

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