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.
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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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DOI: https://doi.org/10.1007/978-3-642-14828-6_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14827-9
Online ISBN: 978-3-642-14828-6
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