• Corpus ID: 115161042

Equidistribution of Fekete points on complex manifolds

@inproceedings{RBerman2008EquidistributionOF,
  title={Equidistribution of Fekete points on complex manifolds},
  author={R.Berman and S.Boucksom},
  year={2008}
}
We prove the several variable version of a 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”. 

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Boucksom, S: Capacities and weighted volumes for line bundles

  • 1950

Bergman kernels and weighted equilibrium measures of C^n

V: Transfinite diameter, Chebyshev constants, and capacity for compacta in Cˆn

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  • 1975

E-mail address: robertb@math.chalmers.se CNRS-Université Paris 7