Monotonicity of non-pluripolar Monge-Ampere masses

By David Witt Nyström. Indiana University Mathematics Journal, 2017

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We prove that on a compact Kahler manifold, the non-pluripolar Monge-Ampere mass of a $\theta$-psh function decreases as the singularities increase. This was conjectured by Boucksom-Eyssidieux-Guedj-Zeriahi who proved it under the additional assumption of the functions having small unbounded locus. As a corollary we get a comparison principle for $\theta$-psh functions, analogous to the comparison principle for psh functions due to Bedford-Taylor.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/933ef8c6062c573491a9c63072c7ba4aa2dea373