Generic fundamental polygons for surfaces of genus three (Q1884370)
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scientific article; zbMATH DE number 2112250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic fundamental polygons for surfaces of genus three |
scientific article; zbMATH DE number 2112250 |
Statements
Generic fundamental polygons for surfaces of genus three (English)
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28 October 2004
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For the regular 30-gon in the hyperbolic plane it is known that there are 927 essentially different side-pairing patterns that give a compact Riemann surface of genus 3. The author gives a complete list of these 927 patterns (as a preparation for the study of extremal surfaces of genus~3).
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extremal Riemann surface
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fundamental polygon
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side pairing
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0.8892589
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0.8854325
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0.8836451
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0.88315934
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0.87663144
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0.87160754
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0.87100124
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