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Intrinsic capacities on compact Kähler manifolds

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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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Authors and Affiliations

  1. Laboratoire Emile Picard UMR 5580, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse Cedex 04, France

    Vincent Guedj & Ahmed Zeriahi

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  1. Vincent Guedj
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  2. Ahmed Zeriahi
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Correspondence to Vincent Guedj.

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Communicated by John-Erick Fornæss

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Guedj, V., Zeriahi, A. Intrinsic capacities on compact Kähler manifolds. J Geom Anal 15, 607–639 (2005). https://doi.org/10.1007/BF02922247

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  • DOI: https://doi.org/10.1007/BF02922247

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