Equidistribution of Fekete points on complex manifolds
Complex Variables
2008-07-02 v1
Abstract
We prove the several variable version of the classical equidistribution theorem for Fekete points of a compact subset of the complex plane, which settles a well-known conjecture in pluri-potential theory. The result is obtained as a special case of a general equidistribution theorem for Fekete points in the setting of a given holomorphic line bundle over a compact complex manifold. The proof builds on our recent work "Capacities and weighted volumes for line bundles".
Cite
@article{arxiv.0807.0035,
title = {Equidistribution of Fekete points on complex manifolds},
author = {R. Berman and S. Boucksom},
journal= {arXiv preprint arXiv:0807.0035},
year = {2008}
}
Comments
6 pages