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Symmetry Types of Some Families of Riemann Surfaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2007)

Abstract

This chapter is devoted to three selected examples of families of surfaces whose symmetries can be completely classified. The last means to calculate the number of conjugacy classes of symmetries, to count the number of ovals of each of them and to determine the separating character of each symmetry. The first two sections are devoted to the sphere and the tori, which require specific methods since they are not uniformized by the hyperbolic plane.

Keywords

  • Riemann Surface
  • Branch Point
  • Conjugacy Class
  • Hexagonal Lattice
  • Orbit Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Emilio Bujalance .

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© 2010 Springer Berlin Heidelberg

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Bujalance, E., Cirre, F.J., Gamboa, J.M., Gromadzki, G. (2010). Symmetry Types of Some Families of Riemann Surfaces. In: Symmetries of Compact Riemann Surfaces. Lecture Notes in Mathematics(), vol 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14828-6_4

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