 |
 |
|
|
| HAL : hal-00001002, version 1 |
| arXiv : math.GT/0401056 |
| Fiche détaillée |  Récupérer au format |
 |
| Versions disponibles : | v1 (07-01-2004) | v2 (28-10-2004) |
|
|
|
|
| Square-tiled surfaces in H(2) |
|
|
| Pascal Hubert 1Samuel Lelièvre 2 |
|
|
| (07/01/2004) |
|
|
|
| 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Institut de Mathématiques de Luminy (IML) |
|
|
|
CNRS : UPR9016 |
|
|
| 2 : | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
|
|
|
CNRS : UMR5149 – Université Montpellier II - Sciences et techniques |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Topologie géométrique |
|
|
| rational billiards – Teichmüller discs – square-tiled surfaces – Weierstrass points |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00001002, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00001002 | |
| oai:hal.archives-ouvertes.fr:hal-00001002 | |
| Contributeur : Samuel Lelievre | |
| Soumis le : Mercredi 7 Janvier 2004, 05:57:36 | |
| Dernière modification le : Mercredi 7 Janvier 2004, 08:05:10 | |
