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Plurisubharmonicity of envelopes of disc functionals on manifolds

Plurisubharmonicity of envelopes of disc functionals on manifolds

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 …