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Comparison of Monge-Ampère capacities

2020/05/08 by Lu, Chinh H.
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.04264

Abstract

Let (X,ω) be a compact Kähler manifold. We prove that all Monge-Ampère capacities are comparable. Using this we give an alternative direct proof of the integration by parts formula for non-pluripolar products recently proved by M. Xia.

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