Prime arithmetic Teichmuller discs in H(2)
| dc.creator | Hubert, Pascal | |
| dc.creator | Lelièvre, Samuel | |
| dc.date | 2004-01-07 | |
| dc.date | 2004-10-28 | |
| dc.date.accessioned | 2026-07-07T08:06:13Z | |
| dc.date.available | 2026-07-07T08:06:13Z | |
| dc.description | It is well-known that Teichmuller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure of these special Teichmuller discs is mostly unexplored: their number, genus, area, cusps, etc. We prove that in genus two all translation surfaces in H(2) tiled by a prime number n > 3 of squares fall into exactly two Teichmuller discs, only one of them with elliptic points, and that the genus of these discs has a cubic growth rate in n. | |
| dc.description | Accepted for publication in Israel Journal of Mathematics. A previous version circulated with the title "Square-tiled surfaces in H(2)''. Changes from v1: improved redaction, fixed typos, added references | |
| dc.identifier | https://arxiv.org/abs/math/0401056 | |
| dc.identifier | http://arxiv.org/abs/math/0401056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130528 | |
| dc.subject | Geometric Topology | |
| dc.subject | 32G15 (37C35 37D50 30F30 14H55 30F35) | |
| dc.title | Prime arithmetic Teichmuller discs in H(2) | |
| dc.type | text |