Exceptional points of an endomorphism of the projective plane
| dc.creator | Amerik, E. | |
| dc.creator | Campana, F. | |
| dc.date | 2003-10-15 | |
| dc.date.accessioned | 2026-07-07T05:01:56Z | |
| dc.date.available | 2026-07-07T05:01:56Z | |
| dc.description | let f be an endomorphism of a complex projective space, of degree bigger than one. Let us call an algebraic subset exceptional for f, if its inverse image is set-theoretically equal to itself. J.-Y. Briend, S. Cantat and M. Shishikura proved that an irreducible set like this is a linear subspace. In this paper, we obtain a bound for the number of codimension-two exceptional subspaces. In particular, we show that an endomorphism of the projective plane can be completely ramified at nine points at most. | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0310228 | |
| dc.identifier | http://arxiv.org/abs/math/0310228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68864 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Exceptional points of an endomorphism of the projective plane | |
| dc.type | text |