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Intrinsic capacities on compact Kähler manifolds

Vincent Guedj, Ahmed Zeriahi

math.CVarXiv:math/0401302

Abstract

We study fine properties of quasiplurisubharmonic functions on compact Kähler manifolds. We define and study several intrinsic capacities which characterize pluripolar sets and show that locally pluripolar sets are globally "quasi-pluripolar".

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