Monotonicity of Non-pluripolar Monge-ampère Masses
نویسنده
چکیده
We prove that on a compact Kähler manifold, the non-pluripolar MongeAmpère 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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