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arXiv · 1703.01950

Monotonicity of non-pluripolar Monge-Ampère masses

David Witt Nyström
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Abstract

We prove that on a compact Kähler manifold, the non-pluripolar Monge-Ampère mass of a $θ$-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 $θ$-psh functions, analogous to the comparison principle for psh functions due to Bedford-Taylor.

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David Witt Nyström. 2017-03-06. Monotonicity of non-pluripolar Monge-Ampère masses. https://arxiv.org/abs/1703.01950

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