Monge-Ampère operators on compact Kähler manifolds
| dc.creator | Guedj, Vincent | |
| dc.creator | Zeriahi, Ahmed | |
| dc.date | 2005-04-12 | |
| dc.date | 2006-01-19 | |
| dc.date.accessioned | 2026-07-07T06:39:46Z | |
| dc.date.available | 2026-07-07T06:39:46Z | |
| dc.description | We study the complex Monge-Amp\` ere operator on compact Kähler manifolds. We give a complete description of its range on the set of $ω-$plurisubharmonic functions with $L^2$ gradient and finite self energy, generalizing to this compact setting results of U.Cegrell from the local pluripoltential theory. We give some applications to complex dynamics and to the existence of Kähler-Einstein metrics on singular manifolds. | |
| dc.description | 29 pages, We show how to extend the results of the previous version to arbitrary dimension and indicate some applications | |
| dc.identifier | https://arxiv.org/abs/math/0504234 | |
| dc.identifier | http://arxiv.org/abs/math/0504234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101199 | |
| dc.subject | Complex Variables | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 32H50; 58F23; 58F15 | |
| dc.title | Monge-Ampère operators on compact Kähler manifolds | |
| dc.type | text |