Plurisubharmonicity of Envelopes of Disc Functionals on Manifolds

  • Finnur Lárusson, Ragnar Sigurdsson, Evgeny A. Poletsky
  • Published 2003

Abstract

We show that a disc functional on a complex manifold has a plurisubharmonic envelope if all its pullbacks by holomorphic submersions from domains of holomorphy in affine space do and it is locally bounded above and upper semicontinuous in a certain weak sense. For naturally defined classes of disc functionals on manifolds, this result reduces a property… (More)

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