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Teichmüller Curves Through Fermat Curves

✍ Scribed by William A. Veech

Publisher
Springer
Year
2008
Tongue
English
Weight
373 KB
Volume
18
Category
Article
ISSN
1016-443X

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## Abstract Teichmüller curves are geodesic discs in Teichmüller space that project to algebraic curves __C__ in the moduli space __M~g~__. Some Teichmüller curves can be considered as components of Hurwitz spaces. We show that the absolute Galois group __G__~ℚ~ acts faithfully on the set of these