Teichmueller curves, Galois actions and GT-relations
| dc.creator | Moeller, Martin | |
| dc.date | 2003-11-18 | |
| dc.date | 2004-10-11 | |
| dc.date.accessioned | 2026-07-07T05:03:01Z | |
| dc.date.available | 2026-07-07T05:03:01Z | |
| dc.description | Teichmueller curves are geodesic discs in Teichmueller 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 $G_\QQ$ acts faithfully on the set of these embedded curves. We also compare the action of $G_\QQ$ on $π_1(C)$ with the one on $π_1(M_g)$ and obtain a relation in the Grothendieck-Teichmueller group, seemingly independent of the known ones. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311308 | |
| dc.identifier | http://arxiv.org/abs/math/0311308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69242 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Teichmueller curves, Galois actions and GT-relations | |
| dc.type | text |