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QA331.7.WEG FCT 96005 Visual complex functions | QA333.SPR FCT 81029 Geometry and spectra of compact Riemann surfaces | QA333.SPR FCT 81224 Generalizations of Thomae's formula for Zn curves | QA333.SPR FCT 82439 Symmetries of compact Riemann surfaces | QA333.SPR FCT 82478 Computational approach to Riemann surfaces | QA341.SPR FCT 82169 Algebraic function fields and codes | QA341.SPR FCT 82933 Colloquium De Giorgi 2010–2012 |
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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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