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Paper

Quantization for Semipositive Adjoint Line Bundles

Abstract

Given a big and semipositive line bundle in the adjoint setting, we show that Donaldson's quantized Monge-Ampere energy associated with any bounded plurisubharmonic weight converges to the Monge-Ampere energy. Our proof refines an argument of Berman and Freixas i Montplet in the ample case by employing a pointwise semiclassical Ohsawa-Takegoshi type extension theorem. As an application, we obtain the weak convergence of adjoint Bergman measures associated with bounded plurisubharmonic weights toward the corresponding non-pluripolar measures.