Domains of definition of Monge-Ampère operators on compact Kähler manifolds
| dc.creator | Coman, Dan | |
| dc.creator | Guedj, Vincent | |
| dc.creator | Zeriahi, Ahmed | |
| dc.date | 2007-05-31 | |
| dc.date.accessioned | 2026-07-07T08:03:41Z | |
| dc.date.available | 2026-07-07T08:03:41Z | |
| dc.description | Let $(X,ω)$ be a compact Kähler manifold. We introduce and study the largest set $DMA(X,ω)$ of $ω$-plurisubharmonic (psh) functions on which the complex Monge-Ampère operator is well defined. It is much larger than the corresponding local domain of definition, though still a proper subset of the set $PSH(X,\om)$ of all $\om$-psh functions. We prove that certain twisted Monge-Ampère operators are well defined for all $ω$-psh functions. As a consequence, any $\om$-psh function with slightly attenuated singularities has finite weighted Monge-Ampère energy. | |
| dc.identifier | https://arxiv.org/abs/0705.4529 | |
| dc.identifier | http://arxiv.org/abs/0705.4529 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129668 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32W20, 32U15, 32Q15 | |
| dc.title | Domains of definition of Monge-Ampère operators on compact Kähler manifolds | |
| dc.type | text |