Publication: On the number of ovals of a symmetry of a compact Riemann surface
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2008
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Universidad Autónoma Madrid
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The set of stationary points of the anticonformal involution (reflection) of a Riemann surface is called an oval. In this paper the total number of ovals of all reflections on a surface is counted provided the group of conformal automorphisms of the surface is cyclic. The bounds for this number are also given.
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