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Pré-Publication, Document De Travail Année : 2004

Square-tiled surfaces in H(2)

Résumé

This is a study of square-tiled translation surfaces in the stratum H(2) and their SL(2,R)-orbits or Teichmüller discs,which are arithmetic. We prove that for prime n > 3 translation surfaces tiled by n squares fall into two Teichmüller discs, only one of them with elliptic points, and that the genus of these discs has a cubic growth rate in n.
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Dates et versions

hal-00001002 , version 1 (07-01-2004)
hal-00001002 , version 2 (27-10-2004)

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Citer

Pascal Hubert, Samuel Lelièvre. Square-tiled surfaces in H(2). 2004. ⟨hal-00001002v1⟩
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