Entire pluricomplex Green functions and Lelong numbers of projective currents

Details Entire pluricomplex Green functions and Lelong numbers of projective currents Entire pluricomplex Green functions and Lelong numbers of projective currents

2004-09-13

arxiv.org/abs/math/0409210v1

Mathematics

Complex Variables

9 pages

Scientific paper

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 $V_\alpha(T)$ of points where $T$ has Lelong number larger than $\alpha$ is contained in a complex line if $\alpha\geq2/3$, and $|V_\alpha(T)\setminus L|\leq1$ for some complex line $L$ if $1/2\leq\alpha<2/3$. We also prove that in dimension 2 and if $2/5\leq\alpha<1/2$, then $|V_\alpha(T)\setminus C|\leq1$ for some conic $C$.

Affiliated with

Also associated with

No associations

Rating

Entire pluricomplex Green functions and Lelong numbers of projective currents does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entire pluricomplex Green functions and Lelong numbers of projective currents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entire pluricomplex Green functions and Lelong numbers of projective currents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-530856