Exemples de Lattes et domaines faiblement spheriques de C^n
| dc.creator | Dupont, C. | |
| dc.date | 2001-10-24 | |
| dc.date.accessioned | 2026-07-07T04:44:03Z | |
| dc.date.available | 2026-07-07T04:44:03Z | |
| dc.description | In this paper, we study the attracting basins of the origin in C^(k+1) for the polynomial lifts of Lattes examples. We show that their boundaries are obtained as quotient of a spherical hypersurface and we explicit the singularities that appear. These domains are surprising, because they are very close to the ball, and admit a non injective self proper holomorphic map. For the proof, we desingularize these boundaries into a spherical hypersurface in a line bundle over a complex torus by using theta fonctions. Finally, we discuss some examples in dimension 2. We show that some critically finite endomorphisms of CP^2 considered by Ueda are actually Lattes examples although the one studied by Fornaess and Sibony is not. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110264 | |
| dc.identifier | http://arxiv.org/abs/math/0110264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62479 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 14K25; 32S25; 32T99; 32H50 | |
| dc.title | Exemples de Lattes et domaines faiblement spheriques de C^n | |
| dc.type | text |