2008/06/30 by Robert J. Berman, R. Berman, Berman, R. +3 · 1 citation
Mathematics · #32U15 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV #msc:32U15
paper · pdf · doi:10.48550/arxiv.0807.0035
6 pages
arxiv created 2008/06/30 · openalex publication_date 2008/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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".