Plurisubharmonic functions and nef classes on complex manifolds

Tosatti, Valentino; Weinkove, Ben

doi:10.1090/S0002-9939-2012-11206-7

Plurisubharmonic functions and nef classes on complex manifolds
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by Valentino Tosatti and Ben Weinkove

Proc. Amer. Math. Soc. 140 (2012), 4003-4010

DOI: https://doi.org/10.1090/S0002-9939-2012-11206-7

Published electronically: February 28, 2012

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Abstract:

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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