Pluricomplex charge at weak singularities
| dc.creator | Wiklund, Jonas | |
| dc.date | 2005-10-31 | |
| dc.date.accessioned | 2026-07-07T06:48:08Z | |
| dc.date.available | 2026-07-07T06:48:08Z | |
| dc.description | Let $u$ be a plurisubharmonic function, defined on a neighbourhood of a point $x,$ such that the complex Monge-Ampère operator is well-defined on $u.$ Suppose also that $u$ has a weak singularity, in the sense that the Lelong number of $u$ at $x$ vanish. Is it true that the residual mass of the measure $(dd^c{u})^n$ vanish at $x$? To our knowledge there is no known example that falsifies the posed question. In this paper some partial results are obtained. We find that for a significant subset of plurisubharmonic functions with well defined Monge-Ampère mass vanishing Lelong number does implies vanishing residual mass of the Monge-Ampère measure. | |
| dc.identifier | https://arxiv.org/abs/math/0510671 | |
| dc.identifier | http://arxiv.org/abs/math/0510671 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103888 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F07, 32W20 | |
| dc.title | Pluricomplex charge at weak singularities | |
| dc.type | text |