Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity

Eugene Gutkin, Pascal Hubert, and Thomas Schmidt

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Submission date: 04. Feb. 2002
Pages: 34
published in: Annales scientifiques de l'Ecole Normale Supérieure, 36 (2003) 6, p. 847-866 
DOI number (of the published article): 10.1016/j.ansens.2003.05.001
Bibtex
MSC-Numbers: 30F35, 11J70
Keywords and phrases: flat structures, affine diffeomorphisms, rational points
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Abstract:
We study translation surfaces with rich groups of affine diffeomorphisms.