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arxiv: 1102.1676 · v2 · pith:TX6HBXIInew · submitted 2011-02-08 · 🧮 math.DG · math.CV

Plurisubharmonic functions and nef classes on complex manifolds

classification 🧮 math.DG math.CV
keywords classescomplexfunctionsplurisubharmonicproveclassequippedexistence
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We prove the existence of plurisubharmonic functions with prescribed logarithmic singularities on complex 3-folds equipped with a nef class of positive volume. We prove the same result for rational classes on Moishezon n-folds.

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