Equidistribution of Fekete points on complex manifolds

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Berman, R.
Boucksom, S.
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Abstract
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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".
Comment: 6 pages
Keywords
Mathematics - Complex Variables, 32U15
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