Modular Fibers And Illumination Problems
| dc.creator | Hubert, Pascal | |
| dc.creator | Schmoll, Martin | |
| dc.creator | Troubetzkoy, Serge | |
| dc.date | 2006-02-17 | |
| dc.date | 2006-02-21 | |
| dc.date.accessioned | 2026-07-07T07:03:34Z | |
| dc.date.available | 2026-07-07T07:03:34Z | |
| dc.description | For a Veech surface (x,ω), we characterize subspaces of X^n, invariant under the diagonal action of the affine group of X. We prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X,ω) embedded in the moduli-space of translation surfaces. We study illumination problems in (pre-)lattice surfaces. For (X,ω) prelattice we prove the at most countableness of points non-illuminable from any x in X. Applying our results on invariant subspaces we prove the finiteness of these sets when (X,ω) is Veech. | |
| dc.description | 37 pages, 3 figures, submitted, 2/21/06 replacement contains one more figure | |
| dc.identifier | https://arxiv.org/abs/math/0602394 | |
| dc.identifier | http://arxiv.org/abs/math/0602394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109019 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | 34C35, 40E10, 11P21, 51F99 | |
| dc.title | Modular Fibers And Illumination Problems | |
| dc.type | text |