Monotonicity of nonpluripolar products and complex Monge–Ampère equations with prescribed singularity
Monotonicity of nonpluripolar products and complex Monge–Ampère equations with prescribed singularity
We establish the monotonicity property for the mass of non-pluripolar products on compact Kahler manifolds, and we initiate the study of complex Monge-Ampere type equations with prescribed singularity type. Using the variational method of Berman-Boucksom-Guedj-Zeriahi we prove existence and uniqueness of solutions with small unbounded locus. We give applications to …