Plurisubharmonic functions and nef classes on complex manifolds

Details Plurisubharmonic functions and nef classes on complex manifolds Plurisubharmonic functions and nef classes on complex manifolds

2011-02-08

arxiv.org/abs/1102.1676v2

Mathematics

Differential Geometry

9 pages; main result improved

Scientific paper

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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