#### Document Type

Article

#### Date

9-13-2004

#### Embargo Period

11-10-2011

#### Disciplines

Mathematics

#### Description/Abstract

Let T be a positive closed current of bidimension (1,1) and unit masson the complex projective space P^{n}. We prove that the set Valpa(T) of points where T has Lelong number larger than alpha is contained in a complex line if alpha ≥ 2/3, and |V alpa(T ) \ L| ≤ 1 for some complex line L if 1/2 ≤ alpha < 2/3. We also prove that in dimension 2 and if 2/5 ≤ alpha < 1/2, then |V alpha (T ) \ C| ≤ 1 for some conic C.

#### Recommended Citation

Coman, Dan, "Entire Pluricomplex Green Functions and Lelong Numbers of Projective Currents" (2004). *Mathematics Faculty Scholarship.* Paper 17.

http://surface.syr.edu/mat/17

#### Source

Harvested from arXiv.org

#### Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.

## Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0409210