Entire pluricomplex Green functions and Lelong numbers of projective currents
| dc.creator | Coman, Dan | |
| dc.date | 2004-09-13 | |
| dc.date.accessioned | 2026-07-07T05:12:05Z | |
| dc.date.available | 2026-07-07T05:12:05Z | |
| dc.description | Let $T$ be a positive closed current of bidimension (1,1) and unit mass on the complex projective space ${\Bbb P}^n$. We prove that the set $V_α(T)$ of points where $T$ has Lelong number larger than $α$ is contained in a complex line if $α\geq2/3$, and $|V_α(T)\setminus L|\leq1$ for some complex line $L$ if $1/2\leqα<2/3$. We also prove that in dimension 2 and if $2/5\leqα<1/2$, then $|V_α(T)\setminus C|\leq1$ for some conic $C$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409210 | |
| dc.identifier | http://arxiv.org/abs/math/0409210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72456 | |
| dc.subject | Complex Variables | |
| dc.subject | Primary: 32U25, 32U35. Secondary: 32U05, 32U40 | |
| dc.title | Entire pluricomplex Green functions and Lelong numbers of projective currents | |
| dc.type | text |