Fekete Points and Convergence towards Equilibrium Measures on Complex Manifolds
نویسنده
چکیده
Building on [BB08a], we prove a general criterion for convergence of (possibly singular) Bergman measures towards equilibrium measures on complex manifolds. The criterion may be formulated in terms of growth properties of balls of holomorphic sections, or equivalently as an asymptotic minimization of generalized Donaldson L-functionals. Our result yields in particular the proof of a well-known conjecture in pluripotential theory concerning the equidistribution of Fekete points, and it also gives the convergence of Bergman measures towards equilibrium for Bernstein-Markov measures. The present paper therefore supersedes our preprints [BB08b, BWN08]. Applications to interpolation of holomorphic sections are also discussed.
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تاریخ انتشار 2009