On the commuting holomorphic endomorphisms of P^k
| dc.creator | Dinh, Tien-Cuong | |
| dc.creator | Sibony, Nessim | |
| dc.date | 2000-07-04 | |
| dc.date.accessioned | 2026-07-07T04:36:13Z | |
| dc.date.available | 2026-07-07T04:36:13Z | |
| dc.description | Let f_1, f_2 be holomorphic endomorphisms of P^k, of degrees d_1\geq 2, d_2\geq 2. Assume that f_1\circ f_2=f_2\circ f_1 and that d_1^{n_1}\not =d_2^{n_2} for all integers n_1, n_2. We then show that f_j are critically finite. Moreover there is an orbifold (P^k,n) such that f_1, f_2 are coverings of (P^k,n). In the P^2 case we give the list of commuting pairs satisfying the above conditions. | |
| dc.description | 42 pages, in French | |
| dc.identifier | https://arxiv.org/abs/math/0007017 | |
| dc.identifier | http://arxiv.org/abs/math/0007017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59521 | |
| dc.subject | Complex Variables | |
| dc.title | On the commuting holomorphic endomorphisms of P^k | |
| dc.type | text |