Equidistribution of Fekete points on complex manifolds
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 wellknown conjecture in pluripotential 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".
 Publication:

arXiv eprints
 Pub Date:
 June 2008
 arXiv:
 arXiv:0807.0035
 Bibcode:
 2008arXiv0807.0035B
 Keywords:

 Mathematics  Complex Variables;
 32U15
 EPrint:
 6 pages