On Degenerated Monge-Ampere Equations over Closed Kähler Manifolds

2006/03/19 by Zhou Zhang, Zhang, Zhou
Mathematics · #32U20 #53C56 #58J05 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:32U20 #msc:53C56 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0603465

15 pages

arxiv created 2006/03/20 · arxiv updated 2009/12/01

Abstract

In this work, we study Monge-Ampere equations over closed Kähler manifolds with degenerated cohomology classes. Classic results and arguments in pluripotential theory are generalized a little bit to be applied to our situation.

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