Plurisubharmonic functions and nef classes on complex manifolds

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.

9 pages; main result improved

References in corpus (3)

• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Pluripotential estimates on compact Hermitian manifolds
• A converse to the Andreotti-Grauert theorem

Cited by in corpus (2)

• Hermitian metrics, (n-1, n-1) forms and Monge-Ampère equations
• Open problems in pluripotential theory